36007695360 has 1056 divisors, whose sum is σ = 159083538432. Its totient is φ = 7325614080.

The previous prime is 36007695337. The next prime is 36007695371. The reversal of 36007695360 is 6359670063.

36007695360 is a `hidden beast` number, since 3 + 600 + 7 + 6 + 9 + 5 + 36 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 129991542 + ... + 129991818.

Almost surely, 2^36007695360 is an apocalyptic number.

36007695360 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 36007695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79541769216).

36007695360 is an abundant number, since it is smaller than the sum of its proper divisors (123075843072).

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

36007695360 is a wasteful number, since it uses less digits than its factorization.

36007695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

36007695360 divided by its sum of digits (45) gives a palindrome (800171008).

The spelling of 36007695360 in words is "thirty-six billion, seven million, six hundred ninety-five thousand, three hundred sixty".