36729593760 has 96 divisors (see below), whose sum is σ = 117283239360. Its totient is φ = 9660377088.

The previous prime is 36729593741. The next prime is 36729593767. The reversal of 36729593760 is 6739592763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 36729593760.

It is not an unprimeable number, because it can be changed into a prime (36729593767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489070 + ... + 559149.

It is an arithmetic number, because the mean of its divisors is an integer number (1221700410).

Almost surely, 2^36729593760 is an apocalyptic number.

36729593760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36729593760 is an abundant number, since it is smaller than the sum of its proper divisors (80553645600).

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

36729593760 is a wasteful number, since it uses less digits than its factorization.

36729593760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048310 (or 1048302 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 57.

The spelling of 36729593760 in words is "thirty-six billion, seven hundred twenty-nine million, five hundred ninety-three thousand, seven hundred sixty".