59642779968 has 84 divisors (see below), whose sum is σ = 171539210388. Its totient is φ = 19813017600.

The previous prime is 59642779949. The next prime is 59642779969. The reversal of 59642779968 is 86997724695.

59642779968 is a `hidden beast` number, since 59 + 6 + 427 + 7 + 99 + 68 = 666.

59642779968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35739146304 + 23903633664 = 189048^2 + 154608^2 .

It is a super-2 number, since 2×59642779968² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 59642779896 and 59642779905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59642779969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7933 + ... + 345468.

It is an arithmetic number, because the mean of its divisors is an integer number (2042133457).

Almost surely, 2^59642779968 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 59642779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85769605194).

59642779968 is an abundant number, since it is smaller than the sum of its proper divisors (111896430420).

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

59642779968 is a wasteful number, since it uses less digits than its factorization.

59642779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353712 (or 353699 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 59642779968 in words is "fifty-nine billion, six hundred forty-two million, seven hundred seventy-nine thousand, nine hundred sixty-eight".