6961478990400 has 2016 divisors, whose sum is σ = 29282148679680. Its totient is φ = 1593768960000.

The previous prime is 6961478990381. The next prime is 6961478990407. The reversal of 6961478990400 is 40998741696.

6961478990400 is a `hidden beast` number, since 6 + 9 + 6 + 147 + 89 + 9 + 0 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (6961478990407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54814795137 + ... + 54814795263.

Almost surely, 2^{6961478990400} is an apocalyptic number.

6961478990400 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 6961478990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641074339840).

6961478990400 is an abundant number, since it is smaller than the sum of its proper divisors (22320669689280).

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

6961478990400 is a wasteful number, since it uses less digits than its factorization.

6961478990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 6961478990400 in words is "six trillion, nine hundred sixty-one billion, four hundred seventy-eight million, nine hundred ninety thousand, four hundred".