1956978688 has 56 divisors (see below), whose sum is σ = 4472952192. Its totient is φ = 838680576.

The previous prime is 1956978641. The next prime is 1956978691. The reversal of 1956978688 is 8868796591.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40281 + ... + 74407.

Almost surely, 2^1956978688 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 1956978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236476096).

1956978688 is an abundant number, since it is smaller than the sum of its proper divisors (2515973504).

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

1956978688 is an frugal number, since it uses more digits than its factorization.

1956978688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34160 (or 34136 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 67.

The square root of 1956978688 is about 44237.7518416115. The cubic root of 1956978688 is about 1250.8215799934.

The spelling of 1956978688 in words is "one billion, nine hundred fifty-six million, nine hundred seventy-eight thousand, six hundred eighty-eight".