724006256640 has 480 divisors, whose sum is σ = 2378097792000. Its totient is φ = 188032745472.

The previous prime is 724006256629. The next prime is 724006256651. The reversal of 724006256640 is 46652600427.

It is an interprime number because it is at equal distance from previous prime (724006256629) and next prime (724006256651).

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 724006256592 and 724006256601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727938351 + ... + 1727938769.

It is an arithmetic number, because the mean of its divisors is an integer number (4954370400).

Almost surely, 2^724006256640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724006256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189048896000).

724006256640 is an abundant number, since it is smaller than the sum of its proper divisors (1654091535360).

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

724006256640 is an equidigital number, since it uses as much as digits as its factorization.

724006256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 724006256640 in words is "seven hundred twenty-four billion, six million, two hundred fifty-six thousand, six hundred forty".