6968939750400 has 528 divisors, whose sum is σ = 23210909549568. Its totient is φ = 1844072448000.

The previous prime is 6968939750363. The next prime is 6968939750411. The reversal of 6968939750400 is 40579398696.

It is a happy number.

It is a super-2 number, since 2×6968939750400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6759397885 + ... + 6759398915.

Almost surely, 2^{6968939750400} is an apocalyptic number.

6968939750400 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 6968939750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11605454774784).

6968939750400 is an abundant number, since it is smaller than the sum of its proper divisors (16241969799168).

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

6968939750400 is a wasteful number, since it uses less digits than its factorization.

6968939750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 66.

The spelling of 6968939750400 in words is "six trillion, nine hundred sixty-eight billion, nine hundred thirty-nine million, seven hundred fifty thousand, four hundred".