36511537680 has 360 divisors, whose sum is σ = 129024663768. Its totient is φ = 9251979264.

The previous prime is 36511537649. The next prime is 36511537697. The reversal of 36511537680 is 8673511563.

36511537680 is a `hidden beast` number, since 3 + 6 + 51 + 1 + 537 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14216269824 + 22295267856 = 119232^2 + 149316^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97885974 + ... + 97886346.

Almost surely, 2^36511537680 is an apocalyptic number.

36511537680 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 36511537680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512331884).

36511537680 is an abundant number, since it is smaller than the sum of its proper divisors (92513126088).

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

36511537680 is a wasteful number, since it uses less digits than its factorization.

36511537680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 36511537680 in words is "thirty-six billion, five hundred eleven million, five hundred thirty-seven thousand, six hundred eighty".