36725213952 has 432 divisors, whose sum is σ = 126097957440. Its totient is φ = 10057678848.

The previous prime is 36725213933. The next prime is 36725213953. The reversal of 36725213952 is 25931252763.

36725213952 is a `hidden beast` number, since 3 + 6 + 7 + 252 + 1 + 395 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36725213898 and 36725213907.

It is not an unprimeable number, because it can be changed into a prime (36725213953) 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, 108976728 + ... + 108977064.

It is an arithmetic number, because the mean of its divisors is an integer number (291893420).

Almost surely, 2^36725213952 is an apocalyptic number.

36725213952 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 36725213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63048978720).

36725213952 is an abundant number, since it is smaller than the sum of its proper divisors (89372743488).

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

36725213952 is a wasteful number, since it uses less digits than its factorization.

36725213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 611 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 36725213952 in words is "thirty-six billion, seven hundred twenty-five million, two hundred thirteen thousand, nine hundred fifty-two".