6913745798400 has 1296 divisors, whose sum is σ = 29670167654400. Its totient is φ = 1560087060480.

The previous prime is 6913745798383. The next prime is 6913745798459. The reversal of 6913745798400 is 48975473196.

6913745798400 is a `hidden beast` number, since 6 + 9 + 13 + 7 + 4 + 579 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 860021581 + ... + 860029619.

Almost surely, 2^{6913745798400} is an apocalyptic number.

6913745798400 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 6913745798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835083827200).

6913745798400 is an abundant number, since it is smaller than the sum of its proper divisors (22756421856000).

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

6913745798400 is an equidigital number, since it uses as much as digits as its factorization.

6913745798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166 (or 8135 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 6913745798400 in words is "six trillion, nine hundred thirteen billion, seven hundred forty-five million, seven hundred ninety-eight thousand, four hundred".