7694652672 has 270 divisors, whose sum is σ = 26693555658. Its totient is φ = 2198181888.

The previous prime is 7694652671. The next prime is 7694652677. The reversal of 7694652672 is 2762564967.

7694652672 is a `hidden beast` number, since 7 + 6 + 9 + 46 + 526 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7690588416 + 4064256 = 87696^2 + 2016^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7694652671) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1012278 + ... + 1019850.

Almost surely, 2^7694652672 is an apocalyptic number.

7694652672 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 7694652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346777829).

7694652672 is an abundant number, since it is smaller than the sum of its proper divisors (18998902986).

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

7694652672 is an equidigital number, since it uses as much as digits as its factorization.

7694652672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7615 (or 7585 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 7694652672 is about 87719.1693531123. The cubic root of 7694652672 is about 1974.2236052722.

The spelling of 7694652672 in words is "seven billion, six hundred ninety-four million, six hundred fifty-two thousand, six hundred seventy-two".