61342706880 has 1344 divisors, whose sum is σ = 278344335360. Its totient is φ = 12039487488.

The previous prime is 61342706879. The next prime is 61342706911. The reversal of 61342706880 is 8860724316.

61342706880 is a `hidden beast` number, since 613 + 4 + 27 + 0 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 483013377 + ... + 483013503.

It is an arithmetic number, because the mean of its divisors is an integer number (207101440).

Almost surely, 2^61342706880 is an apocalyptic number.

61342706880 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 61342706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139172167680).

61342706880 is an abundant number, since it is smaller than the sum of its proper divisors (217001628480).

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

61342706880 is a wasteful number, since it uses less digits than its factorization.

61342706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 61342706880 in words is "sixty-one billion, three hundred forty-two million, seven hundred six thousand, eight hundred eighty".