7753728672 has 48 divisors (see below), whose sum is σ = 22615044480. Its totient is φ = 2584575936.

The previous prime is 7753728667. The next prime is 7753728721. The reversal of 7753728672 is 2768273577.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 4486248 + ... + 4487975.

It is an arithmetic number, because the mean of its divisors is an integer number (471146760).

Almost surely, 2^7753728672 is an apocalyptic number.

7753728672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7753728672 is an abundant number, since it is smaller than the sum of its proper divisors (14861315808).

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

7753728672 is a wasteful number, since it uses less digits than its factorization.

7753728672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8974242 (or 8974228 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The square root of 7753728672 is about 88055.2591955756. The cubic root of 7753728672 is about 1979.2631234106.

The spelling of 7753728672 in words is "seven billion, seven hundred fifty-three million, seven hundred twenty-eight thousand, six hundred seventy-two".