677479756800 has 2112 divisors, whose sum is σ = 3094865915904. Its totient is φ = 126300979200.

The previous prime is 677479756769. The next prime is 677479756831. The reversal of 677479756800 is 8657974776.

It is an interprime number because it is at equal distance from previous prime (677479756769) and next prime (677479756831).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2312217454 + ... + 2312217746.

Almost surely, 2^677479756800 is an apocalyptic number.

677479756800 is a gapful number since it is divisible by the number (60) 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 677479756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547432957952).

677479756800 is an abundant number, since it is smaller than the sum of its proper divisors (2417386159104).

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

677479756800 is a wasteful number, since it uses less digits than its factorization.

677479756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 66.

The spelling of 677479756800 in words is "six hundred seventy-seven billion, four hundred seventy-nine million, seven hundred fifty-six thousand, eight hundred".