37640321709813 has 24 divisors (see below), whose sum is σ = 56143998892800. Its totient is φ = 24275080601280.

The previous prime is 37640321709811. The next prime is 37640321709853. The reversal of 37640321709813 is 31890712304673.

37640321709813 is a `hidden beast` number, since 3 + 7 + 6 + 403 + 217 + 0 + 9 + 8 + 13 = 666.

It is not a de Polignac number, because 37640321709813 - 2¹ = 37640321709811 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37640321709813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37640321709811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24239856 + ... + 25745897.

It is an arithmetic number, because the mean of its divisors is an integer number (2339333287200).

Almost surely, 2^{37640321709813} is an apocalyptic number.

It is an amenable number.

37640321709813 is a deficient number, since it is larger than the sum of its proper divisors (18503677182987).

37640321709813 is a wasteful number, since it uses less digits than its factorization.

37640321709813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49988489 (or 49988486 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 37640321709813 in words is "thirty-seven trillion, six hundred forty billion, three hundred twenty-one million, seven hundred nine thousand, eight hundred thirteen".