6456488135580 has 2304 divisors, whose sum is σ = 26670850891776. Its totient is φ = 1229747650560.

The previous prime is 6456488135579. The next prime is 6456488135599. The reversal of 6456488135580 is 855318846546.

6456488135580 is a `hidden beast` number, since 6 + 4 + 5 + 6 + 48 + 8 + 1 + 3 + 5 + 580 = 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 Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 39610356579 + ... + 39610356741.

It is an arithmetic number, because the mean of its divisors is an integer number (11575890144).

Almost surely, 2^{6456488135580} is an apocalyptic number.

6456488135580 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 6456488135580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335425445888).

6456488135580 is an abundant number, since it is smaller than the sum of its proper divisors (20214362756196).

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

6456488135580 is a wasteful number, since it uses less digits than its factorization.

6456488135580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 6456488135580 in words is "six trillion, four hundred fifty-six billion, four hundred eighty-eight million, one hundred thirty-five thousand, five hundred eighty".