61077764400 has 120 divisors (see below), whose sum is σ = 195721473024. Its totient is φ = 16281657600.

The previous prime is 61077764389. The next prime is 61077764417. The reversal of 61077764400 is 446777016.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4225185 + ... + 4239615.

Almost surely, 2^61077764400 is an apocalyptic number.

61077764400 is a gapful number since it is divisible by the number (60) 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 61077764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97860736512).

61077764400 is an abundant number, since it is smaller than the sum of its proper divisors (134643708624).

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

61077764400 is a wasteful number, since it uses less digits than its factorization.

61077764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17979 (or 17968 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 61077764400 in words is "sixty-one billion, seventy-seven million, seven hundred sixty-four thousand, four hundred".