677597664 has 48 divisors (see below), whose sum is σ = 1856034432. Its totient is φ = 216044928.

The previous prime is 677597663. The next prime is 677597689. The reversal of 677597664 is 466795776.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×677597664³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677597663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151234 + ... + 155649.

It is an arithmetic number, because the mean of its divisors is an integer number (38667384).

Almost surely, 2^677597664 is an apocalyptic number.

It is an amenable number.

677597664 is an abundant number, since it is smaller than the sum of its proper divisors (1178436768).

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

677597664 is a wasteful number, since it uses less digits than its factorization.

677597664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306919 (or 306911 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 57.

The square root of 677597664 is about 26030.7061755919. The cubic root of 677597664 is about 878.3291574282.

The spelling of 677597664 in words is "six hundred seventy-seven million, five hundred ninety-seven thousand, six hundred sixty-four".