36740874240 has 900 divisors, whose sum is σ = 154579895316. Its totient is φ = 8323596288.

The previous prime is 36740874229. The next prime is 36740874277. The reversal of 36740874240 is 4247804763.

36740874240 is a `hidden beast` number, since 367 + 40 + 8 + 7 + 4 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5267275776 + 31473598464 = 72576^2 + 177408^2 .

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 59 ways as a sum of consecutive naturals, for example, 325140424 + ... + 325140536.

Almost surely, 2^36740874240 is an apocalyptic number.

36740874240 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 36740874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77289947658).

36740874240 is an abundant number, since it is smaller than the sum of its proper divisors (117839021076).

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

36740874240 is an equidigital number, since it uses as much as digits as its factorization.

36740874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 36740874240 in words is "thirty-six billion, seven hundred forty million, eight hundred seventy-four thousand, two hundred forty".