61879289472 has 1024 divisors, whose sum is σ = 253557964800. Its totient is φ = 14332723200.

The previous prime is 61879289419. The next prime is 61879289491. The reversal of 61879289472 is 27498297816.

61879289472 is a `hidden beast` number, since 6 + 1 + 87 + 9 + 2 + 89 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 127 ways as a sum of consecutive naturals, for example, 107242848 + ... + 107243424.

It is an arithmetic number, because the mean of its divisors is an integer number (247615200).

Almost surely, 2^61879289472 is an apocalyptic number.

61879289472 is a gapful number since it is divisible by the number (62) 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 61879289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126778982400).

61879289472 is an abundant number, since it is smaller than the sum of its proper divisors (191678675328).

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

61879289472 is a wasteful number, since it uses less digits than its factorization.

61879289472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 644 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 61879289472 in words is "sixty-one billion, eight hundred seventy-nine million, two hundred eighty-nine thousand, four hundred seventy-two".