715041149760 has 672 divisors, whose sum is σ = 2904964138752. Its totient is φ = 158018273280.

The previous prime is 715041149707. The next prime is 715041149761. The reversal of 715041149760 is 67941140517.

715041149760 is a `hidden beast` number, since 7 + 150 + 4 + 1 + 1 + 497 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×715041149760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715041149761) 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, 121582020 + ... + 121587900.

Almost surely, 2^715041149760 is an apocalyptic number.

715041149760 is a gapful number since it is divisible by the number (70) 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 715041149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452482069376).

715041149760 is an abundant number, since it is smaller than the sum of its proper divisors (2189922988992).

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

715041149760 is a wasteful number, since it uses less digits than its factorization.

715041149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6111 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 715041149760 in words is "seven hundred fifteen billion, forty-one million, one hundred forty-nine thousand, seven hundred sixty".