7672435992 has 320 divisors, whose sum is σ = 24149664000. Its totient is φ = 2260452096.

The previous prime is 7672435951. The next prime is 7672436003. The reversal of 7672435992 is 2995342767.

7672435992 is a `hidden beast` number, since 7 + 6 + 7 + 2 + 43 + 599 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21371509 + ... + 21371867.

It is an arithmetic number, because the mean of its divisors is an integer number (75467700).

Almost surely, 2^7672435992 is an apocalyptic number.

7672435992 is a gapful number since it is divisible by the number (72) 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 7672435992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12074832000).

7672435992 is an abundant number, since it is smaller than the sum of its proper divisors (16477228008).

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

7672435992 is a wasteful number, since it uses less digits than its factorization.

7672435992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 479 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 7672435992 is about 87592.4425507132. The cubic root of 7672435992 is about 1972.3217228168.

The spelling of 7672435992 in words is "seven billion, six hundred seventy-two million, four hundred thirty-five thousand, nine hundred ninety-two".