962982746640 has 720 divisors, whose sum is σ = 3560392901520. Its totient is φ = 232420147200.

The previous prime is 962982746611. The next prime is 962982746651. The reversal of 962982746640 is 46647289269.

962982746640 is a `hidden beast` number, since 9 + 62 + 98 + 27 + 466 + 4 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 19877616144 + 943105130496 = 140988^2 + 971136^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1692412276 + ... + 1692412844.

It is an arithmetic number, because the mean of its divisors is an integer number (4944990141).

Almost surely, 2^962982746640 is an apocalyptic number.

962982746640 is a gapful number since it is divisible by the number (90) 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 962982746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780196450760).

962982746640 is an abundant number, since it is smaller than the sum of its proper divisors (2597410154880).

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

962982746640 is a wasteful number, since it uses less digits than its factorization.

962982746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 962982746640 in words is "nine hundred sixty-two billion, nine hundred eighty-two million, seven hundred forty-six thousand, six hundred forty".