677652480000 has 1500 divisors, whose sum is σ = 2724932554960. Its totient is φ = 167215104000.

The previous prime is 677652479993. The next prime is 677652480023. The reversal of 677652480000 is 84256776.

It is a tau number, because it is divible by the number of its divisors (1500).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 15759359979 + ... + 15759360021.

Almost surely, 2^677652480000 is an apocalyptic number.

677652480000 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 677652480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362466277480).

677652480000 is an abundant number, since it is smaller than the sum of its proper divisors (2047280074960).

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

677652480000 is an frugal number, since it uses more digits than its factorization.

677652480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 677652480000 in words is "six hundred seventy-seven billion, six hundred fifty-two million, four hundred eighty thousand".