6961973811408 has 1200 divisors, whose sum is σ = 26623671833088. Its totient is φ = 1749313843200.

The previous prime is 6961973811407. The next prime is 6961973811409. The reversal of 6961973811408 is 8041183791696.

6961973811408 is a `hidden beast` number, since 6 + 9 + 6 + 197 + 38 + 1 + 1 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (6961973811407) and next prime (6961973811409).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961973811407) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2620237216 + ... + 2620239872.

Almost surely, 2^{6961973811408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6961973811408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311835916544).

6961973811408 is an abundant number, since it is smaller than the sum of its proper divisors (19661698021680).

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

6961973811408 is a wasteful number, since it uses less digits than its factorization.

6961973811408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 6961973811408 in words is "six trillion, nine hundred sixty-one billion, nine hundred seventy-three million, eight hundred eleven thousand, four hundred eight".