7645347072 has 216 divisors, whose sum is σ = 25314612960. Its totient is φ = 2194698240.

The previous prime is 7645347023. The next prime is 7645347103. The reversal of 7645347072 is 2707435467.

7645347072 is a `hidden beast` number, since 7 + 64 + 53 + 470 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473598 + ... + 489474.

Almost surely, 2^7645347072 is an apocalyptic number.

7645347072 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 7645347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657306480).

7645347072 is an abundant number, since it is smaller than the sum of its proper divisors (17669265888).

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

7645347072 is a wasteful number, since it uses less digits than its factorization.

7645347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15929 (or 15912 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The square root of 7645347072 is about 87437.6753579371. The cubic root of 7645347072 is about 1969.9977730226.

The spelling of 7645347072 in words is "seven billion, six hundred forty-five million, three hundred forty-seven thousand, seventy-two".