7252669573632 has 960 divisors, whose sum is σ = 25573245350400. Its totient is φ = 2022838272000.

The previous prime is 7252669573631. The next prime is 7252669573657. The reversal of 7252669573632 is 2363759662527.

It is a happy number.

7252669573632 is a `hidden beast` number, since 7 + 2 + 5 + 26 + 6 + 9 + 573 + 6 + 32 = 666.

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 7252669573632.

It is not an unprimeable number, because it can be changed into a prime (7252669573631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9657349257 + ... + 9657350007.

It is an arithmetic number, because the mean of its divisors is an integer number (26638797240).

Almost surely, 2^{7252669573632} is an apocalyptic number.

7252669573632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7252669573632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786622675200).

7252669573632 is an abundant number, since it is smaller than the sum of its proper divisors (18320575776768).

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

7252669573632 is a wasteful number, since it uses less digits than its factorization.

7252669573632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1085 counting only the distinct ones).

The product of its digits is 171460800, while the sum is 63.

The spelling of 7252669573632 in words is "seven trillion, two hundred fifty-two billion, six hundred sixty-nine million, five hundred seventy-three thousand, six hundred thirty-two".