7164776025 has 243 divisors, whose sum is σ = 15458862783. Its totient is φ = 3290997600.

The previous prime is 7164776011. The next prime is 7164776039. The reversal of 7164776025 is 5206774617.

The square root of 7164776025 is 84645.

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

It is an interprime number because it is at equal distance from previous prime (7164776011) and next prime (7164776039).

It can be written as a sum of positive squares in only one way, i.e., 2579319369 + 4585456656 = 50787^2 + 67716^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 7164776025 - 2¹⁷ = 7164644953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 377093466 + ... + 377093484.

Almost surely, 2^7164776025 is an apocalyptic number.

7164776025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7164776025 is the 84645-th square number.

7164776025 is the 42323-rd centered octagonal number.

It is an amenable number.

7164776025 is an abundant number, since it is smaller than the sum of its proper divisors (8294086758).

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

7164776025 is an equidigital number, since it uses as much as digits as its factorization.

7164776025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The cubic root of 7164776025 is about 1927.8246966212.

The spelling of 7164776025 in words is "seven billion, one hundred sixty-four million, seven hundred seventy-six thousand, twenty-five".