36793428480 has 240 divisors, whose sum is σ = 127646142624. Its totient is φ = 9794641920.

The previous prime is 36793428467. The next prime is 36793428487. The reversal of 36793428480 is 8482439763.

36793428480 is a `hidden beast` number, since 36 + 7 + 93 + 42 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×36793428480² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36793428487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19053115 + ... + 19055045.

Almost surely, 2^36793428480 is an apocalyptic number.

36793428480 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 36793428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63823071312).

36793428480 is an abundant number, since it is smaller than the sum of its proper divisors (90852714144).

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

36793428480 is a wasteful number, since it uses less digits than its factorization.

36793428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 36793428480 in words is "thirty-six billion, seven hundred ninety-three million, four hundred twenty-eight thousand, four hundred eighty".