61772046336 has 1344 divisors, whose sum is σ = 256474423296. Its totient is φ = 14332723200.

The previous prime is 61772046293. The next prime is 61772046359. The reversal of 61772046336 is 63364027716.

61772046336 is a `hidden beast` number, since 6 + 1 + 7 + 7 + 2 + 0 + 4 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 61772046291 and 61772046300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1992646641 + ... + 1992646671.

It is an arithmetic number, because the mean of its divisors is an integer number (190829184).

Almost surely, 2^61772046336 is an apocalyptic number.

61772046336 is a gapful number since it is divisible by the number (66) 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 61772046336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128237211648).

61772046336 is an abundant number, since it is smaller than the sum of its proper divisors (194702376960).

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

61772046336 is a wasteful number, since it uses less digits than its factorization.

61772046336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 61772046336 in words is "sixty-one billion, seven hundred seventy-two million, forty-six thousand, three hundred thirty-six".