1956663360 has 336 divisors, whose sum is σ = 7113300480. Its totient is φ = 492687360.

The previous prime is 1956663353. The next prime is 1956663367. The reversal of 1956663360 is 633666591.

It is an interprime number because it is at equal distance from previous prime (1956663353) and next prime (1956663367).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1956663367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7220025 + ... + 7220295.

Almost surely, 2^1956663360 is an apocalyptic number.

1956663360 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 1956663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556650240).

1956663360 is an abundant number, since it is smaller than the sum of its proper divisors (5156637120).

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

1956663360 is a wasteful number, since it uses less digits than its factorization.

1956663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 1956663360 is about 44234.1876832841. The cubic root of 1956663360 is about 1250.7543947526.

The spelling of 1956663360 in words is "one billion, nine hundred fifty-six million, six hundred sixty-three thousand, three hundred sixty".