706460383611840 has 2688 divisors, whose sum is σ = 2778402568273920. Its totient is φ = 150904664064000.

The previous prime is 706460383611833. The next prime is 706460383611877. The reversal of 706460383611840 is 48116383064607.

It is a super-2 number, since 2×706460383611840² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1967856221581 + ... + 1967856221939.

It is an arithmetic number, because the mean of its divisors is an integer number (1033631907840).

Almost surely, 2^{706460383611840} 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 706460383611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389201284136960).

706460383611840 is an abundant number, since it is smaller than the sum of its proper divisors (2071942184662080).

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

706460383611840 is a wasteful number, since it uses less digits than its factorization.

706460383611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 706460383611840 in words is "seven hundred six trillion, four hundred sixty billion, three hundred eighty-three million, six hundred eleven thousand, eight hundred forty".