60849119664 has 120 divisors (see below), whose sum is σ = 173016894960. Its totient is φ = 19960971264.

The previous prime is 60849119657. The next prime is 60849119671. The reversal of 60849119664 is 46691194806.

It is a happy number.

60849119664 is a `hidden beast` number, since 6 + 0 + 8 + 491 + 1 + 96 + 64 = 666.

60849119664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60849119657) and next prime (60849119671).

It is a self number, because there is not a number n which added to its sum of digits gives 60849119664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2488104 + ... + 2512440.

It is an arithmetic number, because the mean of its divisors is an integer number (1441807458).

Almost surely, 2^60849119664 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 60849119664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86508447480).

60849119664 is an abundant number, since it is smaller than the sum of its proper divisors (112167775296).

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

60849119664 is a wasteful number, since it uses less digits than its factorization.

60849119664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24627 (or 24618 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 60849119664 in words is "sixty billion, eight hundred forty-nine million, one hundred nineteen thousand, six hundred sixty-four".