61582747392 has 252 divisors, whose sum is σ = 186680727520. Its totient is φ = 20262887424.

The previous prime is 61582747327. The next prime is 61582747417. The reversal of 61582747392 is 29374728516.

It is a happy number.

61582747392 is a `hidden beast` number, since 6 + 1 + 5 + 82 + 7 + 473 + 92 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14741208 + ... + 14745384.

Almost surely, 2^61582747392 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 61582747392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93340363760).

61582747392 is an abundant number, since it is smaller than the sum of its proper divisors (125097980128).

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

61582747392 is an frugal number, since it uses more digits than its factorization.

61582747392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4261 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 61582747392 in words is "sixty-one billion, five hundred eighty-two million, seven hundred forty-seven thousand, three hundred ninety-two".