61907846470848 has 448 divisors, whose sum is σ = 223602918604800. Its totient is φ = 16400476062720.

The previous prime is 61907846470831. The next prime is 61907846470889. The reversal of 61907846470848 is 84807464870916.

61907846470848 is a `hidden beast` number, since 6 + 1 + 9 + 0 + 78 + 4 + 6 + 470 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7936083 + ... + 13667373.

It is an arithmetic number, because the mean of its divisors is an integer number (499113657600).

Almost surely, 2^{61907846470848} 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 61907846470848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111801459302400).

61907846470848 is an abundant number, since it is smaller than the sum of its proper divisors (161695072133952).

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

61907846470848 is a wasteful number, since it uses less digits than its factorization.

61907846470848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731385 (or 5731369 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 61907846470848 in words is "sixty-one trillion, nine hundred seven billion, eight hundred forty-six million, four hundred seventy thousand, eight hundred forty-eight".