36707446121472 has 352 divisors, whose sum is σ = 125635663238400. Its totient is φ = 10369995964416.

The previous prime is 36707446121461. The next prime is 36707446121531. The reversal of 36707446121472 is 27412164470763.

36707446121472 is a `hidden beast` number, since 3 + 6 + 7 + 0 + 7 + 4 + 4 + 612 + 14 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16159158 + ... + 18290250.

Almost surely, 2^{36707446121472} is an apocalyptic number.

36707446121472 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 36707446121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62817831619200).

36707446121472 is an abundant number, since it is smaller than the sum of its proper divisors (88928217116928).

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

36707446121472 is a wasteful number, since it uses less digits than its factorization.

36707446121472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131218 (or 2131194 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 36707446121472 in words is "thirty-six trillion, seven hundred seven billion, four hundred forty-six million, one hundred twenty-one thousand, four hundred seventy-two".