36477064126560 has 96 divisors (see below), whose sum is σ = 116287122631680. Its totient is φ = 9610021703168.

The previous prime is 36477064126513. The next prime is 36477064126567. The reversal of 36477064126560 is 6562146077463.

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 36477064126560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36477064126567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457754640 + ... + 457834319.

It is an arithmetic number, because the mean of its divisors is an integer number (1211324194080).

Almost surely, 2^{36477064126560} is an apocalyptic number.

36477064126560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36477064126560 is an abundant number, since it is smaller than the sum of its proper divisors (79810058505120).

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

36477064126560 is a wasteful number, since it uses less digits than its factorization.

36477064126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915589060 (or 915589052 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 36477064126560 in words is "thirty-six trillion, four hundred seventy-seven billion, sixty-four million, one hundred twenty-six thousand, five hundred sixty".