36014952960 has 1440 divisors, whose sum is σ = 161554124160. Its totient is φ = 7357464576.

The previous prime is 36014952949. The next prime is 36014953003. The reversal of 36014952960 is 6925941063.

36014952960 is a `hidden beast` number, since 3 + 60 + 1 + 4 + 9 + 529 + 60 = 666.

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

It is a super-2 number, since 2×36014952960² (a number of 22 digits) contains 22 as substring.

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

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, 493355484 + ... + 493355556.

It is an arithmetic number, because the mean of its divisors is an integer number (112190364).

Almost surely, 2^36014952960 is an apocalyptic number.

36014952960 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 36014952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80777062080).

36014952960 is an abundant number, since it is smaller than the sum of its proper divisors (125539171200).

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

36014952960 is a wasteful number, since it uses less digits than its factorization.

36014952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 36014952960 in words is "thirty-six billion, fourteen million, nine hundred fifty-two thousand, nine hundred sixty".