768490125440 has 128 divisors (see below), whose sum is σ = 1842935673600. Its totient is φ = 306433400832.

The previous prime is 768490125409. The next prime is 768490125493. The reversal of 768490125440 is 44521094867.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518198939 + ... + 518200421.

It is an arithmetic number, because the mean of its divisors is an integer number (14397934950).

Almost surely, 2^768490125440 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 768490125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921467836800).

768490125440 is an abundant number, since it is smaller than the sum of its proper divisors (1074445548160).

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

768490125440 is a wasteful number, since it uses less digits than its factorization.

768490125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 768490125440 in words is "seven hundred sixty-eight billion, four hundred ninety million, one hundred twenty-five thousand, four hundred forty".