4592981596680 has 192 divisors, whose sum is σ = 15827015917440. Its totient is φ = 1151161583616.

The previous prime is 4592981596673. The next prime is 4592981596691. The reversal of 4592981596680 is 866951892954.

4592981596680 is a `hidden beast` number, since 4 + 5 + 9 + 29 + 8 + 1 + 596 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4592981596599 and 4592981596608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3933087 + ... + 4965393.

It is an arithmetic number, because the mean of its divisors is an integer number (82432374570).

Almost surely, 2^{4592981596680} is an apocalyptic number.

4592981596680 is a gapful number since it is divisible by the number (40) 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 4592981596680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913507958720).

4592981596680 is an abundant number, since it is smaller than the sum of its proper divisors (11234034320760).

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

4592981596680 is a wasteful number, since it uses less digits than its factorization.

4592981596680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033068 (or 1033061 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 4592981596680 in words is "four trillion, five hundred ninety-two billion, nine hundred eighty-one million, five hundred ninety-six thousand, six hundred eighty".