36169700621040 has 800 divisors, whose sum is σ = 146708088367104. Its totient is φ = 8086791168000.

The previous prime is 36169700621027. The next prime is 36169700621051. The reversal of 36169700621040 is 4012600796163.

36169700621040 is a `hidden beast` number, since 3 + 6 + 16 + 9 + 7 + 0 + 0 + 621 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×36169700621040³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 159 ways as a sum of consecutive naturals, for example, 4798948152 + ... + 4798955688.

Almost surely, 2^{36169700621040} is an apocalyptic number.

36169700621040 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 36169700621040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73354044183552).

36169700621040 is an abundant number, since it is smaller than the sum of its proper divisors (110538387746064).

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

36169700621040 is a wasteful number, since it uses less digits than its factorization.

36169700621040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9867 (or 9852 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 36169700621040 in words is "thirty-six trillion, one hundred sixty-nine billion, seven hundred million, six hundred twenty-one thousand, forty".