680747820480 has 1344 divisors, whose sum is σ = 3164924206080. Its totient is φ = 135157579776.

The previous prime is 680747820451. The next prime is 680747820547. The reversal of 680747820480 is 84028747086.

It is a happy number.

680747820480 is a `hidden beast` number, since 6 + 8 + 0 + 74 + 78 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

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, 120291891 + ... + 120297549.

It is an arithmetic number, because the mean of its divisors is an integer number (2354854320).

Almost surely, 2^680747820480 is an apocalyptic number.

680747820480 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 680747820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582462103040).

680747820480 is an abundant number, since it is smaller than the sum of its proper divisors (2484176385600).

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

680747820480 is a wasteful number, since it uses less digits than its factorization.

680747820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 680747820480 in words is "six hundred eighty billion, seven hundred forty-seven million, eight hundred twenty thousand, four hundred eighty".