700967664 has 240 divisors, whose sum is σ = 2183163840. Its totient is φ = 209018880.

The previous prime is 700967651. The next prime is 700967689. The reversal of 700967664 is 466769007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6430842 + ... + 6430950.

It is an arithmetic number, because the mean of its divisors is an integer number (9096516).

Almost surely, 2^700967664 is an apocalyptic number.

700967664 is a gapful number since it is divisible by the number (74) 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 700967664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091581920).

700967664 is an abundant number, since it is smaller than the sum of its proper divisors (1482196176).

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

700967664 is a wasteful number, since it uses less digits than its factorization.

700967664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 700967664 is about 26475.7939257730. The cubic root of 700967664 is about 888.3129527580.

The spelling of 700967664 in words is "seven hundred million, nine hundred sixty-seven thousand, six hundred sixty-four".