7672644000 has 960 divisors, whose sum is σ = 34248614400. Its totient is φ = 1642291200.

The previous prime is 7672643981. The next prime is 7672644013. The reversal of 7672644000 is 4462767.

7672644000 is a `hidden beast` number, since 7 + 6 + 7 + 2 + 644 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38555901 + ... + 38556099.

It is an arithmetic number, because the mean of its divisors is an integer number (35675640).

Almost surely, 2^7672644000 is an apocalyptic number.

7672644000 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 7672644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124307200).

7672644000 is an abundant number, since it is smaller than the sum of its proper divisors (26575970400).

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

7672644000 is a wasteful number, since it uses less digits than its factorization.

7672644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7672644000 is about 87593.6299053761. The cubic root of 7672644000 is about 1972.3395465776.

The spelling of 7672644000 in words is "seven billion, six hundred seventy-two million, six hundred forty-four thousand".