36889966080 has 640 divisors, whose sum is σ = 144955008000. Its totient is φ = 8928092160.

The previous prime is 36889966063. The next prime is 36889966147. The reversal of 36889966080 is 8066998863.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×36889966080³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36889965999 and 36889966017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61585621 + ... + 61586219.

It is an arithmetic number, because the mean of its divisors is an integer number (226492200).

Almost surely, 2^36889966080 is an apocalyptic number.

36889966080 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 36889966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72477504000).

36889966080 is an abundant number, since it is smaller than the sum of its proper divisors (108065041920).

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

36889966080 is an frugal number, since it uses more digits than its factorization.

36889966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 36889966080 in words is "thirty-six billion, eight hundred eighty-nine million, nine hundred sixty-six thousand, eighty".