36948497040 has 540 divisors, whose sum is σ = 156326935284. Its totient is φ = 7794468864.

The previous prime is 36948496997. The next prime is 36948497063. The reversal of 36948497040 is 4079484963.

It is a happy number.

36948497040 is a `hidden beast` number, since 36 + 9 + 484 + 97 + 0 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8977941504 + 27970555536 = 94752^2 + 167244^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5959222 + ... + 5965418.

Almost surely, 2^36948497040 is an apocalyptic number.

36948497040 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 36948497040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78163467642).

36948497040 is an abundant number, since it is smaller than the sum of its proper divisors (119378438244).

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

36948497040 is a wasteful number, since it uses less digits than its factorization.

36948497040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 36948497040 in words is "thirty-six billion, nine hundred forty-eight million, four hundred ninety-seven thousand, forty".