32972749056 has 405 divisors, whose sum is σ = 107572399011. Its totient is φ = 10040868864.

The previous prime is 32972749001. The next prime is 32972749057. The reversal of 32972749056 is 65094727923.

The square root of 32972749056 is 181584.

It is a perfect power (a square), and thus also a powerful number.

32972749056 is a `hidden beast` number, since 32 + 9 + 72 + 7 + 490 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6024243456 + 26948505600 = 77616^2 + 164160^2 .

It is a super-2 number, since 2×32972749056² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 32972748993 and 32972749011.

It is not an unprimeable number, because it can be changed into a prime (32972749057) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 339925200 + ... + 339925296.

Almost surely, 2^32972749056 is an apocalyptic number.

32972749056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32972749056 is the 181584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32972749056

32972749056 is an abundant number, since it is smaller than the sum of its proper divisors (74599649955).

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

32972749056 is an frugal number, since it uses more digits than its factorization.

32972749056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 32972749056 in words is "thirty-two billion, nine hundred seventy-two million, seven hundred forty-nine thousand, fifty-six".