1957673245680 has 240 divisors, whose sum is σ = 6598414236960. Its totient is φ = 520151334912.

The previous prime is 1957673245651. The next prime is 1957673245711. The reversal of 1957673245680 is 865423767591.

1957673245680 is a `hidden beast` number, since 1 + 9 + 5 + 7 + 67 + 3 + 2 + 4 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444015316 + ... + 444019724.

It is an arithmetic number, because the mean of its divisors is an integer number (27493392654).

It is a 1-persistent number, because it is pandigital, but 2⋅1957673245680 = 3915346491360 is not.

Almost surely, 2^{1957673245680} is an apocalyptic number.

1957673245680 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 1957673245680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299207118480).

1957673245680 is an abundant number, since it is smaller than the sum of its proper divisors (4640740991280).

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

1957673245680 is a wasteful number, since it uses less digits than its factorization.

1957673245680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6528 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 1957673245680 in words is "one trillion, nine hundred fifty-seven billion, six hundred seventy-three million, two hundred forty-five thousand, six hundred eighty".