7007634988452 has 432 divisors, whose sum is σ = 21155409802800. Its totient is φ = 1949427357696.

The previous prime is 7007634988441. The next prime is 7007634988463. The reversal of 7007634988452 is 2548894367007.

7007634988452 is a `hidden beast` number, since 7 + 0 + 0 + 7 + 63 + 49 + 88 + 452 = 666.

It is an interprime number because it is at equal distance from previous prime (7007634988441) and next prime (7007634988463).

It can be written as a sum of positive squares in 8 ways, for example, as 3819460470336 + 3188174518116 = 1954344^2 + 1785546^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 7007634988452.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9560211078 + ... + 9560211810.

It is an arithmetic number, because the mean of its divisors is an integer number (48970856025).

Almost surely, 2^{7007634988452} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7007634988452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10577704901400).

7007634988452 is an abundant number, since it is smaller than the sum of its proper divisors (14147774814348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7007634988452 is a wasteful number, since it uses less digits than its factorization.

7007634988452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 7007634988452 in words is "seven trillion, seven billion, six hundred thirty-four million, nine hundred eighty-eight thousand, four hundred fifty-two".