61204675842 has 96 divisors (see below), whose sum is σ = 142098937344. Its totient is φ = 19723824000.

The previous prime is 61204675823. The next prime is 61204675853. The reversal of 61204675842 is 24857640216.

61204675842 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 4 + 67 + 584 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28639398 + ... + 28641534.

It is an arithmetic number, because the mean of its divisors is an integer number (1480197264).

Almost surely, 2^61204675842 is an apocalyptic number.

61204675842 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61204675842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71049468672).

61204675842 is an abundant number, since it is smaller than the sum of its proper divisors (80894261502).

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

61204675842 is a wasteful number, since it uses less digits than its factorization.

61204675842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 61204675842 in words is "sixty-one billion, two hundred four million, six hundred seventy-five thousand, eight hundred forty-two".