715001693406 has 512 divisors, whose sum is σ = 2092511232000. Its totient is φ = 160030080000.

The previous prime is 715001693401. The next prime is 715001693447. The reversal of 715001693406 is 604396100517.

715001693406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×715001693406² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715001693401) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 397001706 + ... + 397003506.

It is an arithmetic number, because the mean of its divisors is an integer number (4086936000).

Almost surely, 2^715001693406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 715001693406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046255616000).

715001693406 is an abundant number, since it is smaller than the sum of its proper divisors (1377509538594).

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

715001693406 is a wasteful number, since it uses less digits than its factorization.

715001693406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 715001693406 in words is "seven hundred fifteen billion, one million, six hundred ninety-three thousand, four hundred six".