36979647120 has 960 divisors, whose sum is σ = 149985043200. Its totient is φ = 8338636800.

The previous prime is 36979647119. The next prime is 36979647127. The reversal of 36979647120 is 2174697963.

It is a happy number.

36979647120 is a `hidden beast` number, since 3 + 69 + 7 + 96 + 471 + 20 = 666.

It is a super-2 number, since 2×36979647120² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36979647127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 366135070 + ... + 366135170.

It is an arithmetic number, because the mean of its divisors is an integer number (156234420).

Almost surely, 2^36979647120 is an apocalyptic number.

36979647120 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 36979647120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74992521600).

36979647120 is an abundant number, since it is smaller than the sum of its proper divisors (113005396080).

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

36979647120 is a wasteful number, since it uses less digits than its factorization.

36979647120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 36979647120 in words is "thirty-six billion, nine hundred seventy-nine million, six hundred forty-seven thousand, one hundred twenty".