707120064 has 224 divisors, whose sum is σ = 2422794240. Its totient is φ = 198042624.

The previous prime is 707119999. The next prime is 707120081. The reversal of 707120064 is 460021707.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×707120064² = 1000037569822728192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640537 + ... + 641639.

Almost surely, 2^707120064 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 707120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211397120).

707120064 is an abundant number, since it is smaller than the sum of its proper divisors (1715674176).

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

707120064 is a wasteful number, since it uses less digits than its factorization.

707120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 707120064 is about 26591.7292404988. The cubic root of 707120064 is about 890.9042965375.

The spelling of 707120064 in words is "seven hundred seven million, one hundred twenty thousand, sixty-four".