1956768362640 has 1280 divisors, whose sum is σ = 8756106240000. Its totient is φ = 390047145984.

The previous prime is 1956768362629. The next prime is 1956768362663. The reversal of 1956768362640 is 462638676591.

1956768362640 is a `hidden beast` number, since 1 + 9 + 567 + 6 + 8 + 3 + 6 + 2 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2647859391 + ... + 2647860129.

It is an arithmetic number, because the mean of its divisors is an integer number (6840708000).

It is a 1-persistent number, because it is pandigital, but 2⋅1956768362640 = 3913536725280 is not.

Almost surely, 2^{1956768362640} is an apocalyptic number.

1956768362640 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 1956768362640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378053120000).

1956768362640 is an abundant number, since it is smaller than the sum of its proper divisors (6799337877360).

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

1956768362640 is a wasteful number, since it uses less digits than its factorization.

1956768362640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 1956768362640 in words is "one trillion, nine hundred fifty-six billion, seven hundred sixty-eight million, three hundred sixty-two thousand, six hundred forty".