61777610496 has 1152 divisors, whose sum is σ = 240178176000. Its totient is φ = 15240462336.

The previous prime is 61777610483. The next prime is 61777610533. The reversal of 61777610496 is 69401677716.

61777610496 is a `hidden beast` number, since 6 + 1 + 77 + 76 + 10 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 922053855 + ... + 922053921.

It is an arithmetic number, because the mean of its divisors is an integer number (208488000).

Almost surely, 2^61777610496 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 61777610496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120089088000).

61777610496 is an abundant number, since it is smaller than the sum of its proper divisors (178400565504).

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

61777610496 is a wasteful number, since it uses less digits than its factorization.

61777610496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 61777610496 in words is "sixty-one billion, seven hundred seventy-seven million, six hundred ten thousand, four hundred ninety-six".