61795774800 has 360 divisors, whose sum is σ = 234102828960. Its totient is φ = 15611097600.

The previous prime is 61795774757. The next prime is 61795774813. The reversal of 61795774800 is 847759716.

61795774800 is a `hidden beast` number, since 6 + 1 + 7 + 95 + 77 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1830070 + ... + 1863530.

It is an arithmetic number, because the mean of its divisors is an integer number (650285636).

Almost surely, 2^61795774800 is an apocalyptic number.

61795774800 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 61795774800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117051414480).

61795774800 is an abundant number, since it is smaller than the sum of its proper divisors (172307054160).

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

61795774800 is a wasteful number, since it uses less digits than its factorization.

61795774800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33513 (or 33490 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 61795774800 in words is "sixty-one billion, seven hundred ninety-five million, seven hundred seventy-four thousand, eight hundred".