7541965957696 has 63 divisors (see below), whose sum is σ = 15126243042729. Its totient is φ = 3731052300288.

The previous prime is 7541965957681. The next prime is 7541965957697. The reversal of 7541965957696 is 6967595691457.

The square root of 7541965957696 is 2746264.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3386630478400 + 4155335479296 = 1840280^2 + 2038464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7541965957697) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2131099095 + ... + 2131102633.

Almost surely, 2^{7541965957696} is an apocalyptic number.

7541965957696 is the 2746264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7541965957696

7541965957696 is an abundant number, since it is smaller than the sum of its proper divisors (7584277085033).

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

7541965957696 is an frugal number, since it uses more digits than its factorization.

7541965957696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 3638 counting only the distinct ones).

The product of its digits is 3857868000, while the sum is 79.

The spelling of 7541965957696 in words is "seven trillion, five hundred forty-one billion, nine hundred sixty-five million, nine hundred fifty-seven thousand, six hundred ninety-six".