37813628601 has 80 divisors (see below), whose sum is σ = 70147010560. Its totient is φ = 19810020960.

The previous prime is 37813628599. The next prime is 37813628609. The reversal of 37813628601 is 10682631873.

37813628601 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 36 + 2 + 8 + 601 = 666.

It is not a de Polignac number, because 37813628601 - 2¹ = 37813628599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37813628609) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 277350 + ... + 390576.

It is an arithmetic number, because the mean of its divisors is an integer number (876837632).

Almost surely, 2^37813628601 is an apocalyptic number.

37813628601 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

37813628601 is a deficient number, since it is larger than the sum of its proper divisors (32333381959).

37813628601 is a wasteful number, since it uses less digits than its factorization.

37813628601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113296 (or 113287 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 37813628601 in words is "thirty-seven billion, eight hundred thirteen million, six hundred twenty-eight thousand, six hundred one".