61395542208 has 504 divisors, whose sum is σ = 237607059456. Its totient is φ = 14718412800.

The previous prime is 61395542207. The next prime is 61395542233. The reversal of 61395542208 is 80224559316.

61395542208 is a `hidden beast` number, since 6 + 1 + 395 + 54 + 2 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (61395542207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7491393 + ... + 7499583.

Almost surely, 2^61395542208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61395542208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118803529728).

61395542208 is an abundant number, since it is smaller than the sum of its proper divisors (176211517248).

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

61395542208 is a wasteful number, since it uses less digits than its factorization.

61395542208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8253 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 61395542208 in words is "sixty-one billion, three hundred ninety-five million, five hundred forty-two thousand, two hundred eight".