60767928000 has 1792 divisors, whose sum is σ = 271598745600. Its totient is φ = 13138329600.

The previous prime is 60767927977. The next prime is 60767928061. The reversal of 60767928000 is 82976706.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 906983967 + ... + 906984033.

It is an arithmetic number, because the mean of its divisors is an integer number (151561800).

Almost surely, 2^60767928000 is an apocalyptic number.

60767928000 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 60767928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135799372800).

60767928000 is an abundant number, since it is smaller than the sum of its proper divisors (210830817600).

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

60767928000 is a wasteful number, since it uses less digits than its factorization.

60767928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 60767928000 in words is "sixty billion, seven hundred sixty-seven million, nine hundred twenty-eight thousand".