7664025600 has 1080 divisors, whose sum is σ = 35495311488. Its totient is φ = 1592524800.

The previous prime is 7664025587. The next prime is 7664025631. The reversal of 7664025600 is 65204667.

It is a Jordan-Polya number, since it can be written as 12! ⋅ (2!)⁴.

7664025600 is a `hidden beast` number, since 7 + 6 + 6 + 40 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 696729595 + ... + 696729605.

Almost surely, 2^7664025600 is an apocalyptic number.

7664025600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7664025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747655744).

7664025600 is an abundant number, since it is smaller than the sum of its proper divisors (27831285888).

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

7664025600 is an equidigital number, since it uses as much as digits as its factorization.

7664025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7664025600 is about 87544.4207245670. The cubic root of 7664025600 is about 1971.6007843079.

The spelling of 7664025600 in words is "seven billion, six hundred sixty-four million, twenty-five thousand, six hundred".