61611938496 has 336 divisors, whose sum is σ = 188721187200. Its totient is φ = 19921324032.

The previous prime is 61611938449. The next prime is 61611938527. The reversal of 61611938496 is 69483911616.

It is a happy number.

61611938496 is a `hidden beast` number, since 6 + 1 + 6 + 119 + 38 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76157740 + ... + 76158548.

It is an arithmetic number, because the mean of its divisors is an integer number (561670200).

Almost surely, 2^61611938496 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 61611938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94360593600).

61611938496 is an abundant number, since it is smaller than the sum of its proper divisors (127109248704).

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

61611938496 is an equidigital number, since it uses as much as digits as its factorization.

61611938496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 956 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 61611938496 in words is "sixty-one billion, six hundred eleven million, nine hundred thirty-eight thousand, four hundred ninety-six".