709572864 has 432 divisors, whose sum is σ = 2585447424. Its totient is φ = 167731200.

The previous prime is 709572863. The next prime is 709572889. The reversal of 709572864 is 468275907.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (709572863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9993949 + ... + 9994019.

It is an arithmetic number, because the mean of its divisors is an integer number (5984832).

Almost surely, 2^709572864 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 709572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292723712).

709572864 is an abundant number, since it is smaller than the sum of its proper divisors (1875874560).

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

709572864 is a wasteful number, since it uses less digits than its factorization.

709572864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 709572864 is about 26637.8089189032. The cubic root of 709572864 is about 891.9332063374.

The spelling of 709572864 in words is "seven hundred nine million, five hundred seventy-two thousand, eight hundred sixty-four".