61842300576 has 96 divisors (see below), whose sum is σ = 185716113408. Its totient is φ = 17651208960.

The previous prime is 61842300529. The next prime is 61842300587. The reversal of 61842300576 is 67500324816.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619521 + ... + 712383.

It is an arithmetic number, because the mean of its divisors is an integer number (1934542848).

Almost surely, 2^61842300576 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 61842300576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92858056704).

61842300576 is an abundant number, since it is smaller than the sum of its proper divisors (123873812832).

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

61842300576 is a wasteful number, since it uses less digits than its factorization.

61842300576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93874 (or 93866 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 61842300576 in words is "sixty-one billion, eight hundred forty-two million, three hundred thousand, five hundred seventy-six".