61777336320 has 1152 divisors, whose sum is σ = 267139192320. Its totient is φ = 12881756160.

The previous prime is 61777336301. The next prime is 61777336349. The reversal of 61777336320 is 2363377716.

61777336320 is a `hidden beast` number, since 6 + 1 + 7 + 7 + 7 + 3 + 3 + 632 + 0 = 666.

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

It is a super-2 number, since 2×61777336320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471582655 + ... + 471582785.

It is an arithmetic number, because the mean of its divisors is an integer number (231891660).

Almost surely, 2^61777336320 is an apocalyptic number.

61777336320 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 61777336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133569596160).

61777336320 is an abundant number, since it is smaller than the sum of its proper divisors (205361856000).

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

61777336320 is a wasteful number, since it uses less digits than its factorization.

61777336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 45.

The spelling of 61777336320 in words is "sixty-one billion, seven hundred seventy-seven million, three hundred thirty-six thousand, three hundred twenty".