715849085952 has 1584 divisors, whose sum is σ = 2872332582912. Its totient is φ = 166657720320.

The previous prime is 715849085929. The next prime is 715849085981. The reversal of 715849085952 is 259580948517.

715849085952 is a `hidden beast` number, since 7 + 1 + 58 + 490 + 8 + 5 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 715849085952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5636606913 + ... + 5636607039.

Almost surely, 2^715849085952 is an apocalyptic number.

715849085952 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 715849085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436166291456).

715849085952 is an abundant number, since it is smaller than the sum of its proper divisors (2156483496960).

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

715849085952 is a wasteful number, since it uses less digits than its factorization.

715849085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 715849085952 in words is "seven hundred fifteen billion, eight hundred forty-nine million, eighty-five thousand, nine hundred fifty-two".