36416983680 has 768 divisors, whose sum is σ = 160209653760. Its totient is φ = 7401922560.

The previous prime is 36416983667. The next prime is 36416983693. The reversal of 36416983680 is 8638961463.

36416983680 is a `hidden beast` number, since 36 + 416 + 98 + 36 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (36416983667) and next prime (36416983693).

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, 20844567 + ... + 20846313.

It is an arithmetic number, because the mean of its divisors is an integer number (208606320).

Almost surely, 2^36416983680 is an apocalyptic number.

36416983680 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 36416983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80104826880).

36416983680 is an abundant number, since it is smaller than the sum of its proper divisors (123792670080).

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

36416983680 is a wasteful number, since it uses less digits than its factorization.

36416983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 36416983680 in words is "thirty-six billion, four hundred sixteen million, nine hundred eighty-three thousand, six hundred eighty".