677515104000 has 1296 divisors, whose sum is σ = 2899457136576. Its totient is φ = 154524672000.

The previous prime is 677515103983. The next prime is 677515104001. The reversal of 677515104000 is 401515776.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×677515104000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677515104001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1469663770 + ... + 1469664230.

Almost surely, 2^677515104000 is an apocalyptic number.

677515104000 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 677515104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449728568288).

677515104000 is an abundant number, since it is smaller than the sum of its proper divisors (2221942032576).

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

677515104000 is an frugal number, since it uses more digits than its factorization.

677515104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Adding to 677515104000 its reverse (401515776), we get a palindrome (677916619776).

The spelling of 677515104000 in words is "six hundred seventy-seven billion, five hundred fifteen million, one hundred four thousand".