61723901952 has 240 divisors, whose sum is σ = 181462195200. Its totient is φ = 20214448128.

The previous prime is 61723901893. The next prime is 61723901957. The reversal of 61723901952 is 25910932716.

It is a happy number.

61723901952 is a `hidden beast` number, since 6 + 1 + 72 + 390 + 195 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61723901898 and 61723901907.

It is not an unprimeable number, because it can be changed into a prime (61723901957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486014913 + ... + 486015039.

It is an arithmetic number, because the mean of its divisors is an integer number (756092480).

Almost surely, 2^61723901952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61723901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90731097600).

61723901952 is an abundant number, since it is smaller than the sum of its proper divisors (119738293248).

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

61723901952 is an equidigital number, since it uses as much as digits as its factorization.

61723901952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 61723901952 in words is "sixty-one billion, seven hundred twenty-three million, nine hundred one thousand, nine hundred fifty-two".