36071904960 has 1120 divisors, whose sum is σ = 162210609792. Its totient is φ = 7405240320.

The previous prime is 36071904923. The next prime is 36071904961. The reversal of 36071904960 is 6940917063.

36071904960 is a `hidden beast` number, since 3 + 6 + 0 + 71 + 90 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36071904961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 96707334 + ... + 96707706.

Almost surely, 2^36071904960 is an apocalyptic number.

36071904960 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 36071904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81105304896).

36071904960 is an abundant number, since it is smaller than the sum of its proper divisors (126138704832).

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

36071904960 is a wasteful number, since it uses less digits than its factorization.

36071904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 36071904960 in words is "thirty-six billion, seventy-one million, nine hundred four thousand, nine hundred sixty".