36801257472 has 672 divisors, whose sum is σ = 133580428800. Its totient is φ = 9889579008.

The previous prime is 36801257417. The next prime is 36801257473. The reversal of 36801257472 is 27475210863.

36801257472 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 1 + 2 + 574 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (36801257473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264757179 + ... + 264757317.

It is an arithmetic number, because the mean of its divisors is an integer number (198780400).

Almost surely, 2^36801257472 is an apocalyptic number.

36801257472 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 36801257472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66790214400).

36801257472 is an abundant number, since it is smaller than the sum of its proper divisors (96779171328).

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

36801257472 is an equidigital number, since it uses as much as digits as its factorization.

36801257472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 36801257472 in words is "thirty-six billion, eight hundred one million, two hundred fifty-seven thousand, four hundred seventy-two".