6963974481920 has 384 divisors, whose sum is σ = 17944933013280. Its totient is φ = 2584530124800.

The previous prime is 6963974481883. The next prime is 6963974481923. The reversal of 6963974481920 is 291844793696.

It can be written as a sum of positive squares in 16 ways, for example, as 281459958784 + 6682514523136 = 530528^2 + 2585056^2 .

It is a Harshad number since it is a multiple of its sum of digits (68).

It is not an unprimeable number, because it can be changed into a prime (6963974481923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5352785270 + ... + 5352786570.

Almost surely, 2^{6963974481920} 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 6963974481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8972466506640).

6963974481920 is an abundant number, since it is smaller than the sum of its proper divisors (10980958531360).

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

6963974481920 is a wasteful number, since it uses less digits than its factorization.

6963974481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 68.

The spelling of 6963974481920 in words is "six trillion, nine hundred sixty-three billion, nine hundred seventy-four million, four hundred eighty-one thousand, nine hundred twenty".