6940955750400 has 2496 divisors, whose sum is σ = 31451426979840. Its totient is φ = 1465653657600.

The previous prime is 6940955750363. The next prime is 6940955750497. The reversal of 6940955750400 is 40575590496.

6940955750400 is a `hidden beast` number, since 6 + 9 + 40 + 9 + 557 + 5 + 0 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13799116549 + ... + 13799117051.

Almost surely, 2^{6940955750400} is an apocalyptic number.

6940955750400 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 6940955750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15725713489920).

6940955750400 is an abundant number, since it is smaller than the sum of its proper divisors (24510471229440).

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

6940955750400 is a wasteful number, since it uses less digits than its factorization.

6940955750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 6940955750400 in words is "six trillion, nine hundred forty billion, nine hundred fifty-five million, seven hundred fifty thousand, four hundred".