1957767680 has 160 divisors (see below), whose sum is σ = 5261984640. Its totient is φ = 692305920.

The previous prime is 1957767653. The next prime is 1957767697. The reversal of 1957767680 is 867677591.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040981 + ... + 1042859.

It is an arithmetic number, because the mean of its divisors is an integer number (32887404).

Almost surely, 2^1957767680 is an apocalyptic number.

1957767680 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 1957767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630992320).

1957767680 is an abundant number, since it is smaller than the sum of its proper divisors (3304216960).

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

1957767680 is a wasteful number, since it uses less digits than its factorization.

1957767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 56.

The square root of 1957767680 is about 44246.6685751594. The cubic root of 1957767680 is about 1250.9896546601.

The spelling of 1957767680 in words is "one billion, nine hundred fifty-seven million, seven hundred sixty-seven thousand, six hundred eighty".