36463581624960 has 1152 divisors, whose sum is σ = 150590326573440. Its totient is φ = 8100596367360.

The previous prime is 36463581624959. The next prime is 36463581624991. The reversal of 36463581624960 is 6942618536463.

36463581624960 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 3 + 5 + 81 + 62 + 496 + 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19120912327 + ... + 19120914233.

It is an arithmetic number, because the mean of its divisors is an integer number (130720769595).

Almost surely, 2^{36463581624960} is an apocalyptic number.

36463581624960 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 36463581624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75295163286720).

36463581624960 is an abundant number, since it is smaller than the sum of its proper divisors (114126744948480).

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

36463581624960 is a wasteful number, since it uses less digits than its factorization.

36463581624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 36463581624960 in words is "thirty-six trillion, four hundred sixty-three billion, five hundred eighty-one million, six hundred twenty-four thousand, nine hundred sixty".