7754693325625 has 135 divisors (see below), whose sum is σ = 10554448675771. Its totient is φ = 5695096792000.

The previous prime is 7754693325583. The next prime is 7754693325653. The reversal of 7754693325625 is 5265233964577.

It is a happy number.

The square root of 7754693325625 is 2784725.

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

It can be written as a sum of positive squares in 7 ways, for example, as 5799942606249 + 1954750719376 = 2408307^2 + 1398124^2 .

It is not a de Polignac number, because 7754693325625 - 2⁷ = 7754693325497 is a prime.

It is a Duffinian number.

Its product of digits (285768000) is a multiple of the sum of its prime divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 46435289292 + ... + 46435289458.

Almost surely, 2^{7754693325625} is an apocalyptic number.

7754693325625 is the 2784725-th square number.

7754693325625 is the 1392363-rd centered octagonal number.

It is an amenable number.

7754693325625 is a deficient number, since it is larger than the sum of its proper divisors (2799755350146).

7754693325625 is an frugal number, since it uses more digits than its factorization.

7754693325625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 224 counting only the distinct ones).

The product of its digits is 285768000, while the sum is 64.

Multiplying 7754693325625 by its sum of digits (64), we get a square (496300372840000 = 22277800²).

The spelling of 7754693325625 in words is "seven trillion, seven hundred fifty-four billion, six hundred ninety-three million, three hundred twenty-five thousand, six hundred twenty-five".