60958759680 has 1620 divisors, whose sum is σ = 278622357552. Its totient is φ = 12680478720.

The previous prime is 60958759679. The next prime is 60958759691. The reversal of 60958759680 is 8695785906.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 858574045 + ... + 858574115.

Almost surely, 2^60958759680 is an apocalyptic number.

60958759680 is a gapful number since it is divisible by the number (60) 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 60958759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139311178776).

60958759680 is an abundant number, since it is smaller than the sum of its proper divisors (217663597872).

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

60958759680 is a wasteful number, since it uses less digits than its factorization.

60958759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 60958759680 in words is "sixty billion, nine hundred fifty-eight million, seven hundred fifty-nine thousand, six hundred eighty".