36907800128640 has 640 divisors, whose sum is σ = 154307673717120. Its totient is φ = 8230307512320.

The previous prime is 36907800128627. The next prime is 36907800128663. The reversal of 36907800128640 is 4682100870963.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 13637739 + ... + 16118421.

It is an arithmetic number, because the mean of its divisors is an integer number (241105740183).

Almost surely, 2^{36907800128640} is an apocalyptic number.

36907800128640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36907800128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77153836858560).

36907800128640 is an abundant number, since it is smaller than the sum of its proper divisors (117399873588480).

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

36907800128640 is a wasteful number, since it uses less digits than its factorization.

36907800128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480762 (or 2480741 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 36907800128640 in words is "thirty-six trillion, nine hundred seven billion, eight hundred million, one hundred twenty-eight thousand, six hundred forty".