7254407385264 has 160 divisors (see below), whose sum is σ = 21458736552960. Its totient is φ = 2092033069056.

The previous prime is 7254407385263. The next prime is 7254407385301. The reversal of 7254407385264 is 4625837044527.

It is a happy number.

It is a super-2 number, since 2×7254407385264² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7254407385263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104639 + ... + 3965985.

It is an arithmetic number, because the mean of its divisors is an integer number (134117103456).

Almost surely, 2^{7254407385264} 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 7254407385264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10729368276480).

7254407385264 is an abundant number, since it is smaller than the sum of its proper divisors (14204329167696).

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

7254407385264 is a wasteful number, since it uses less digits than its factorization.

7254407385264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861627 (or 2861621 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 57.

The spelling of 7254407385264 in words is "seven trillion, two hundred fifty-four billion, four hundred seven million, three hundred eighty-five thousand, two hundred sixty-four".