680919734880000 has 5400 divisors, whose sum is σ = 3253359079643904. Its totient is φ = 140013619200000.

The previous prime is 680919734879963. The next prime is 680919734880029. The reversal of 680919734880000 is 88437919086.

680919734880000 is a `hidden beast` number, since 6 + 80 + 9 + 1 + 9 + 73 + 488 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

It is a super-2 number, since 2×680919734880000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 680919734880000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 747442079545 + ... + 747442080455.

Almost surely, 2^{680919734880000} is an apocalyptic number.

680919734880000 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 680919734880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626679539821952).

680919734880000 is an abundant number, since it is smaller than the sum of its proper divisors (2572439344763904).

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

680919734880000 is a wasteful number, since it uses less digits than its factorization.

680919734880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 680919734880000 in words is "six hundred eighty trillion, nine hundred nineteen billion, seven hundred thirty-four million, eight hundred eighty thousand".