36966121920 has 672 divisors, whose sum is σ = 165715175808. Its totient is φ = 7339769856.

The previous prime is 36966121919. The next prime is 36966121931. The reversal of 36966121920 is 2912166963.

36966121920 is a `hidden beast` number, since 3 + 6 + 9 + 6 + 612 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 4451212 + ... + 4459508.

It is an arithmetic number, because the mean of its divisors is an integer number (246599964).

Almost surely, 2^36966121920 is an apocalyptic number.

36966121920 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 36966121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82857587904).

36966121920 is an abundant number, since it is smaller than the sum of its proper divisors (128749053888).

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

36966121920 is a wasteful number, since it uses less digits than its factorization.

36966121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357 (or 8344 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 36966121920 in words is "thirty-six billion, nine hundred sixty-six million, one hundred twenty-one thousand, nine hundred twenty".