4890767710680 has 320 divisors, whose sum is σ = 16611714900000. Its totient is φ = 1290471782400.

The previous prime is 4890767710651. The next prime is 4890767710711. The reversal of 4890767710680 is 860177670984.

4890767710680 is a `hidden beast` number, since 489 + 0 + 7 + 6 + 7 + 71 + 0 + 6 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 652185571 + ... + 652193069.

Almost surely, 2^{4890767710680} is an apocalyptic number.

4890767710680 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 4890767710680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8305857450000).

4890767710680 is an abundant number, since it is smaller than the sum of its proper divisors (11720947189320).

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

4890767710680 is a wasteful number, since it uses less digits than its factorization.

4890767710680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9616 (or 9603 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 4890767710680 in words is "four trillion, eight hundred ninety billion, seven hundred sixty-seven million, seven hundred ten thousand, six hundred eighty".