36450025920 has 840 divisors, whose sum is σ = 164602698480. Its totient is φ = 7571128320.

The previous prime is 36450025919. The next prime is 36450025957. The reversal of 36450025920 is 2952005463.

36450025920 is a `hidden beast` number, since 3 + 64 + 5 + 0 + 0 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13969576 + ... + 13972184.

Almost surely, 2^36450025920 is an apocalyptic number.

36450025920 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 36450025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82301349240).

36450025920 is an abundant number, since it is smaller than the sum of its proper divisors (128152672560).

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

36450025920 is a wasteful number, since it uses less digits than its factorization.

36450025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

It can be divided in two parts, 364500 and 25920, that multiplied together give a square (9447840000 = 97200²).

The spelling of 36450025920 in words is "thirty-six billion, four hundred fifty million, twenty-five thousand, nine hundred twenty".