1956479071680 has 672 divisors, whose sum is σ = 8451491961600. Its totient is φ = 423656884224.

The previous prime is 1956479071637. The next prime is 1956479071739. The reversal of 1956479071680 is 861709746591.

1956479071680 is a `hidden beast` number, since 1 + 9 + 564 + 7 + 9 + 0 + 7 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 7922227 + ... + 8165453.

Almost surely, 2^{1956479071680} is an apocalyptic number.

1956479071680 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 1956479071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225745980800).

1956479071680 is an abundant number, since it is smaller than the sum of its proper divisors (6495012889920).

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

1956479071680 is a wasteful number, since it uses less digits than its factorization.

1956479071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243286 (or 243263 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 1956479071680 in words is "one trillion, nine hundred fifty-six billion, four hundred seventy-nine million, seventy-one thousand, six hundred eighty".