6997961318400 has 1512 divisors, whose sum is σ = 28525712948460. Its totient is φ = 1629896048640.

The previous prime is 6997961318399. The next prime is 6997961318417. The reversal of 6997961318400 is 48131697996.

6997961318400 is a `hidden beast` number, since 6 + 9 + 9 + 7 + 9 + 613 + 1 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2659038990336 + 4338922328064 = 1630656^2 + 2083008^2 .

It is a super-2 number, since 2×6997961318400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8650137196 + ... + 8650138004.

Almost surely, 2^{6997961318400} is an apocalyptic number.

6997961318400 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 6997961318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14262856474230).

6997961318400 is an abundant number, since it is smaller than the sum of its proper divisors (21527751630060).

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

6997961318400 is a wasteful number, since it uses less digits than its factorization.

6997961318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 6997961318400 in words is "six trillion, nine hundred ninety-seven billion, nine hundred sixty-one million, three hundred eighteen thousand, four hundred".