6874407235584 has 1248 divisors, whose sum is σ = 25144666272000. Its totient is φ = 1845385887744.

The previous prime is 6874407235567. The next prime is 6874407235651. The reversal of 6874407235584 is 4855327044786.

6874407235584 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 4 + 0 + 72 + 3 + 558 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 18430046022 + ... + 18430046394.

Almost surely, 2^{6874407235584} is an apocalyptic number.

6874407235584 is a gapful number since it is divisible by the number (64) 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 6874407235584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12572333136000).

6874407235584 is an abundant number, since it is smaller than the sum of its proper divisors (18270259036416).

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

6874407235584 is a wasteful number, since it uses less digits than its factorization.

6874407235584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 6874407235584 in words is "six trillion, eight hundred seventy-four billion, four hundred seven million, two hundred thirty-five thousand, five hundred eighty-four".