7645674672 has 160 divisors (see below), whose sum is σ = 22605348800. Its totient is φ = 2472394752.

The previous prime is 7645674643. The next prime is 7645674683. The reversal of 7645674672 is 2764765467.

7645674672 is a `hidden beast` number, since 7 + 6 + 4 + 567 + 4 + 6 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9222354 + ... + 9223182.

It is an arithmetic number, because the mean of its divisors is an integer number (141283430).

Almost surely, 2^7645674672 is an apocalyptic number.

7645674672 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 7645674672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11302674400).

7645674672 is an abundant number, since it is smaller than the sum of its proper divisors (14959674128).

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

7645674672 is a wasteful number, since it uses less digits than its factorization.

7645674672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1448 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The square root of 7645674672 is about 87439.5486722112. The cubic root of 7645674672 is about 1970.0259104875.

The spelling of 7645674672 in words is "seven billion, six hundred forty-five million, six hundred seventy-four thousand, six hundred seventy-two".