36374415840 has 576 divisors, whose sum is σ = 154291423104. Its totient is φ = 7612268544.

The previous prime is 36374415817. The next prime is 36374415853. The reversal of 36374415840 is 4851447363.

36374415840 is a `hidden beast` number, since 3 + 63 + 7 + 4 + 4 + 1 + 584 + 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, 6337452 + ... + 6343188.

It is an arithmetic number, because the mean of its divisors is an integer number (267867054).

Almost surely, 2^36374415840 is an apocalyptic number.

36374415840 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 36374415840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77145711552).

36374415840 is an abundant number, since it is smaller than the sum of its proper divisors (117917007264).

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

36374415840 is a wasteful number, since it uses less digits than its factorization.

36374415840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5819 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 36374415840 in words is "thirty-six billion, three hundred seventy-four million, four hundred fifteen thousand, eight hundred forty".