715052144640 has 768 divisors, whose sum is σ = 2460805401600. Its totient is φ = 176867508224.

The previous prime is 715052144633. The next prime is 715052144641. The reversal of 715052144640 is 46441250517.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×715052144640² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715052144641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5219358652 + ... + 5219358788.

It is an arithmetic number, because the mean of its divisors is an integer number (3204173700).

Almost surely, 2^715052144640 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 715052144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230402700800).

715052144640 is an abundant number, since it is smaller than the sum of its proper divisors (1745753256960).

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

715052144640 is a wasteful number, since it uses less digits than its factorization.

715052144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 715052144640 in words is "seven hundred fifteen billion, fifty-two million, one hundred forty-four thousand, six hundred forty".