709797416832 has 896 divisors, whose sum is σ = 2516907936000. Its totient is φ = 199168865280.

The previous prime is 709797416813. The next prime is 709797416851. The reversal of 709797416832 is 238614797907.

709797416832 is a `hidden beast` number, since 70 + 9 + 79 + 7 + 416 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (709797416813) and next prime (709797416851).

It is a tau number, because it is divible by the number of its divisors (896).

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 709797416832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2144402907 + ... + 2144403237.

Almost surely, 2^709797416832 is an apocalyptic number.

709797416832 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 709797416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258453968000).

709797416832 is an abundant number, since it is smaller than the sum of its proper divisors (1807110519168).

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

709797416832 is an frugal number, since it uses more digits than its factorization.

709797416832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 709797416832 in words is "seven hundred nine billion, seven hundred ninety-seven million, four hundred sixteen thousand, eight hundred thirty-two".