36763494485760 has 1152 divisors, whose sum is σ = 155017587916800. Its totient is φ = 8073284567040.

The previous prime is 36763494485713. The next prime is 36763494485779. The reversal of 36763494485760 is 6758449436763.

36763494485760 is a `hidden beast` number, since 3 + 6 + 7 + 6 + 3 + 4 + 9 + 4 + 48 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1042415647 + ... + 1042450913.

It is an arithmetic number, because the mean of its divisors is an integer number (134563878400).

Almost surely, 2^{36763494485760} is an apocalyptic number.

36763494485760 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 36763494485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77508793958400).

36763494485760 is an abundant number, since it is smaller than the sum of its proper divisors (118254093431040).

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

36763494485760 is a wasteful number, since it uses less digits than its factorization.

36763494485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35474 (or 35454 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 72.

The spelling of 36763494485760 in words is "thirty-six trillion, seven hundred sixty-three billion, four hundred ninety-four million, four hundred eighty-five thousand, seven hundred sixty".