7257679440 has 640 divisors, whose sum is σ = 27769651200. Its totient is φ = 1546321920.

The previous prime is 7257679439. The next prime is 7257679453. The reversal of 7257679440 is 449767527.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81546916 + ... + 81547004.

It is an arithmetic number, because the mean of its divisors is an integer number (43390080).

Almost surely, 2^7257679440 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 7257679440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884825600).

7257679440 is an abundant number, since it is smaller than the sum of its proper divisors (20511971760).

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

7257679440 is a wasteful number, since it uses less digits than its factorization.

7257679440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The square root of 7257679440 is about 85192.0151187892. The cubic root of 7257679440 is about 1936.1214392894.

The spelling of 7257679440 in words is "seven billion, two hundred fifty-seven million, six hundred seventy-nine thousand, four hundred forty".