7920728835201 has 72 divisors (see below), whose sum is σ = 14514175428480. Its totient is φ = 4125080965824.

The previous prime is 7920728835143. The next prime is 7920728835203. The reversal of 7920728835201 is 1025388270297.

7920728835201 is a `hidden beast` number, since 7 + 9 + 2 + 0 + 7 + 288 + 352 + 0 + 1 = 666.

It is not a de Polignac number, because 7920728835201 - 2³⁵ = 7886369096833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7920728835203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8291415 + ... + 9197228.

It is an arithmetic number, because the mean of its divisors is an integer number (201585769840).

Almost surely, 2^{7920728835201} is an apocalyptic number.

It is an amenable number.

7920728835201 is a deficient number, since it is larger than the sum of its proper divisors (6593446593279).

7920728835201 is a wasteful number, since it uses less digits than its factorization.

7920728835201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17488755 (or 17488745 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 7920728835201 in words is "seven trillion, nine hundred twenty billion, seven hundred twenty-eight million, eight hundred thirty-five thousand, two hundred one".