61493727744 has 280 divisors, whose sum is σ = 187042291920. Its totient is φ = 20183758848.

The previous prime is 61493727721. The next prime is 61493727761. The reversal of 61493727744 is 44772739416.

It is a happy number.

61493727744 is a `hidden beast` number, since 61 + 493 + 7 + 27 + 74 + 4 = 666.

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

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, 25006387 + ... + 25008845.

Almost surely, 2^61493727744 is an apocalyptic number.

61493727744 is a gapful number since it is divisible by the number (64) 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 61493727744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93521145960).

61493727744 is an abundant number, since it is smaller than the sum of its proper divisors (125548564176).

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

61493727744 is an frugal number, since it uses more digits than its factorization.

61493727744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2531 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 61493727744 in words is "sixty-one billion, four hundred ninety-three million, seven hundred twenty-seven thousand, seven hundred forty-four".