6957965748552 has 512 divisors, whose sum is σ = 24443654860800. Its totient is φ = 1596307046400.

The previous prime is 6957965748523. The next prime is 6957965748599. The reversal of 6957965748552 is 2558475697596.

It is a Harshad number since it is a multiple of its sum of digits (78).

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 127 ways as a sum of consecutive naturals, for example, 28802427 + ... + 29042997.

It is an arithmetic number, because the mean of its divisors is an integer number (47741513400).

Almost surely, 2^{6957965748552} 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 6957965748552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221827430400).

6957965748552 is an abundant number, since it is smaller than the sum of its proper divisors (17485689112248).

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

6957965748552 is a wasteful number, since it uses less digits than its factorization.

6957965748552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240677 (or 240673 counting only the distinct ones).

The product of its digits is 5715360000, while the sum is 78.

The spelling of 6957965748552 in words is "six trillion, nine hundred fifty-seven billion, nine hundred sixty-five million, seven hundred forty-eight thousand, five hundred fifty-two".