36983312335872 has 880 divisors, whose sum is σ = 129533341986048. Its totient is φ = 10289939742720.

The previous prime is 36983312335867. The next prime is 36983312335873. The reversal of 36983312335872 is 27853321338963.

36983312335872 is a `hidden beast` number, since 3 + 6 + 9 + 8 + 3 + 3 + 12 + 33 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (36983312335873) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17306181588 + ... + 17306183724.

Almost surely, 2^{36983312335872} is an apocalyptic number.

36983312335872 is a gapful number since it is divisible by the number (32) 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 36983312335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64766670993024).

36983312335872 is an abundant number, since it is smaller than the sum of its proper divisors (92550029650176).

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

36983312335872 is a wasteful number, since it uses less digits than its factorization.

36983312335872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2917 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 36983312335872 in words is "thirty-six trillion, nine hundred eighty-three billion, three hundred twelve million, three hundred thirty-five thousand, eight hundred seventy-two".