6402981904704 has 2688 divisors, whose sum is σ = 26290503680000. Its totient is φ = 1520925880320.

The previous prime is 6402981904673. The next prime is 6402981904757. The reversal of 6402981904704 is 4074091892046.

6402981904704 is a `hidden beast` number, since 6 + 4 + 0 + 2 + 9 + 81 + 90 + 470 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 50417180289 + ... + 50417180415.

Almost surely, 2^{6402981904704} is an apocalyptic number.

6402981904704 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 6402981904704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13145251840000).

6402981904704 is an abundant number, since it is smaller than the sum of its proper divisors (19887521775296).

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

6402981904704 is a wasteful number, since it uses less digits than its factorization.

6402981904704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 6402981904704 in words is "six trillion, four hundred two billion, nine hundred eighty-one million, nine hundred four thousand, seven hundred four".