36415738080 has 384 divisors, whose sum is σ = 140826470400. Its totient is φ = 8741855232.

The previous prime is 36415738033. The next prime is 36415738081. The reversal of 36415738080 is 8083751463.

36415738080 is a `hidden beast` number, since 36 + 41 + 573 + 8 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×36415738080² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (36415738081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1678341 + ... + 1699899.

It is an arithmetic number, because the mean of its divisors is an integer number (366735600).

Almost surely, 2^36415738080 is an apocalyptic number.

36415738080 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 36415738080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70413235200).

36415738080 is an abundant number, since it is smaller than the sum of its proper divisors (104410732320).

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

36415738080 is a wasteful number, since it uses less digits than its factorization.

36415738080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21623 (or 21609 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 36415738080 in words is "thirty-six billion, four hundred fifteen million, seven hundred thirty-eight thousand, eighty".