36807229440 has 540 divisors, whose sum is σ = 135469001304. Its totient is φ = 9586999296.

The previous prime is 36807229409. The next prime is 36807229441. The reversal of 36807229440 is 4492270863.

It is a tau number, because it is divible by the number of its divisors (540).

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 (36807229441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 855982059 + ... + 855982101.

Almost surely, 2^36807229440 is an apocalyptic number.

36807229440 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 36807229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67734500652).

36807229440 is an abundant number, since it is smaller than the sum of its proper divisors (98661771864).

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

36807229440 is an frugal number, since it uses more digits than its factorization.

36807229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 36807229440 in words is "thirty-six billion, eight hundred seven million, two hundred twenty-nine thousand, four hundred forty".