6768925890480 has 960 divisors, whose sum is σ = 25575429734400. Its totient is φ = 1602624890880.

The previous prime is 6768925890473. The next prime is 6768925890557. The reversal of 6768925890480 is 840985298676.

6768925890480 is a `hidden beast` number, since 6 + 7 + 6 + 8 + 9 + 2 + 58 + 90 + 480 = 666.

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 = 6768925890399 and 6768925890408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10935259611 + ... + 10935260229.

It is an arithmetic number, because the mean of its divisors is an integer number (26641072640).

Almost surely, 2^{6768925890480} is an apocalyptic number.

6768925890480 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 6768925890480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12787714867200).

6768925890480 is an abundant number, since it is smaller than the sum of its proper divisors (18806503843920).

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

6768925890480 is a wasteful number, since it uses less digits than its factorization.

6768925890480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 6768925890480 in words is "six trillion, seven hundred sixty-eight billion, nine hundred twenty-five million, eight hundred ninety thousand, four hundred eighty".