1956649968 has 360 divisors, whose sum is σ = 6969585168. Its totient is φ = 507838464.

The previous prime is 1956649949. The next prime is 1956649973. The reversal of 1956649968 is 8699466591.

1956649968 is a `hidden beast` number, since 1 + 9 + 566 + 4 + 9 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7613296 + ... + 7613552.

Almost surely, 2^1956649968 is an apocalyptic number.

1956649968 is a gapful number since it is divisible by the number (18) 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 1956649968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484792584).

1956649968 is an abundant number, since it is smaller than the sum of its proper divisors (5012935200).

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

1956649968 is a wasteful number, since it uses less digits than its factorization.

1956649968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The square root of 1956649968 is about 44234.0363068983. The cubic root of 1956649968 is about 1250.7515412314.

The spelling of 1956649968 in words is "one billion, nine hundred fifty-six million, six hundred forty-nine thousand, nine hundred sixty-eight".