7672754160 has 560 divisors, whose sum is σ = 28982162880. Its totient is φ = 1881169920.

The previous prime is 7672754153. The next prime is 7672754213. The reversal of 7672754160 is 614572767.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 70392186 + ... + 70392294.

Almost surely, 2^7672754160 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 7672754160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14491081440).

7672754160 is an abundant number, since it is smaller than the sum of its proper divisors (21309408720).

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

7672754160 is a wasteful number, since it uses less digits than its factorization.

7672754160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

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

The square root of 7672754160 is about 87594.2587159684. The cubic root of 7672754160 is about 1972.3489858219.

The spelling of 7672754160 in words is "seven billion, six hundred seventy-two million, seven hundred fifty-four thousand, one hundred sixty".