36037884960 has 1440 divisors, whose sum is σ = 165461788800. Its totient is φ = 7376624640.

The previous prime is 36037884947. The next prime is 36037884973. The reversal of 36037884960 is 6948873063.

It is an interprime number because it is at equal distance from previous prime (36037884947) and next prime (36037884973).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36037884897 and 36037884906.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 537878847 + ... + 537878913.

It is an arithmetic number, because the mean of its divisors is an integer number (114904020).

Almost surely, 2^36037884960 is an apocalyptic number.

36037884960 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 36037884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82730894400).

36037884960 is an abundant number, since it is smaller than the sum of its proper divisors (129423903840).

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

36037884960 is a wasteful number, since it uses less digits than its factorization.

36037884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 36037884960 in words is "thirty-six billion, thirty-seven million, eight hundred eighty-four thousand, nine hundred sixty".