61777366464 has 224 divisors, whose sum is σ = 187950896640. Its totient is φ = 17732915200.

The previous prime is 61777366451. The next prime is 61777366507. The reversal of 61777366464 is 46466377716.

61777366464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3236629 + ... + 3255659.

Almost surely, 2^61777366464 is an apocalyptic number.

61777366464 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 61777366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93975448320).

61777366464 is an abundant number, since it is smaller than the sum of its proper divisors (126173530176).

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

61777366464 is a wasteful number, since it uses less digits than its factorization.

61777366464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19139 (or 19129 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 57.

The spelling of 61777366464 in words is "sixty-one billion, seven hundred seventy-seven million, three hundred sixty-six thousand, four hundred sixty-four".