722475008640 has 2304 divisors, whose sum is σ = 3437541918720. Its totient is φ = 136249344000.

The previous prime is 722475008627. The next prime is 722475008653. The reversal of 722475008640 is 46800574227.

It is a happy number.

722475008640 is a `hidden beast` number, since 7 + 2 + 24 + 7 + 500 + 86 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (722475008627) and next prime (722475008653).

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 287 ways as a sum of consecutive naturals, for example, 2571085300 + ... + 2571085580.

It is an arithmetic number, because the mean of its divisors is an integer number (1491988680).

Almost surely, 2^722475008640 is an apocalyptic number.

722475008640 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 722475008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718770959360).

722475008640 is an abundant number, since it is smaller than the sum of its proper divisors (2715066910080).

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

722475008640 is a wasteful number, since it uses less digits than its factorization.

722475008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 722475008640 in words is "seven hundred twenty-two billion, four hundred seventy-five million, eight thousand, six hundred forty".