1002557767680 has 1536 divisors, whose sum is σ = 4286983034880. Its totient is φ = 211770408960.

The previous prime is 1002557767663. The next prime is 1002557767693. The reversal of 1002557767680 is 867677552001.

It is a happy number.

1002557767680 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 5 + 577 + 6 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9733570509 + ... + 9733570611.

It is an arithmetic number, because the mean of its divisors is an integer number (2791004580).

Almost surely, 2^{1002557767680} is an apocalyptic number.

1002557767680 is a gapful number since it is divisible by the number (10) 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 1002557767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143491517440).

1002557767680 is an abundant number, since it is smaller than the sum of its proper divisors (3284425267200).

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

1002557767680 is a wasteful number, since it uses less digits than its factorization.

1002557767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 1002557767680 in words is "one trillion, two billion, five hundred fifty-seven million, seven hundred sixty-seven thousand, six hundred eighty".