724920778680 has 256 divisors, whose sum is σ = 2554378675200. Its totient is φ = 161134202880.

The previous prime is 724920778669. The next prime is 724920778693. The reversal of 724920778680 is 86877029427.

724920778680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8227660 + ... + 8315300.

It is an arithmetic number, because the mean of its divisors is an integer number (9978041700).

Almost surely, 2^724920778680 is an apocalyptic number.

724920778680 is a gapful number since it is divisible by the number (70) 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 724920778680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277189337600).

724920778680 is an abundant number, since it is smaller than the sum of its proper divisors (1829457896520).

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

724920778680 is a wasteful number, since it uses less digits than its factorization.

724920778680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87934 (or 87930 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 724920778680 in words is "seven hundred twenty-four billion, nine hundred twenty million, seven hundred seventy-eight thousand, six hundred eighty".