7672589652 has 384 divisors, whose sum is σ = 24405606400. Its totient is φ = 1819584000.

The previous prime is 7672589641. The next prime is 7672589681. The reversal of 7672589652 is 2569852767.

It is a super-2 number, since 2×7672589652² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 7672589592 and 7672589601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50811777 + ... + 50811927.

Almost surely, 2^7672589652 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 7672589652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12202803200).

7672589652 is an abundant number, since it is smaller than the sum of its proper divisors (16733016748).

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

7672589652 is a wasteful number, since it uses less digits than its factorization.

7672589652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 57.

The square root of 7672589652 is about 87593.3196767881. The cubic root of 7672589652 is about 1972.3348896447.

The spelling of 7672589652 in words is "seven billion, six hundred seventy-two million, five hundred eighty-nine thousand, six hundred fifty-two".