10246782996720 has 640 divisors, whose sum is σ = 36718421299200. Its totient is φ = 2624780500992.

The previous prime is 10246782996691. The next prime is 10246782996799. The reversal of 10246782996720 is 2769928764201.

10246782996720 is a `hidden beast` number, since 1 + 0 + 2 + 467 + 8 + 2 + 99 + 67 + 20 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1735857289 + ... + 1735863191.

It is an arithmetic number, because the mean of its divisors is an integer number (57372533280).

Almost surely, 2^{10246782996720} is an apocalyptic number.

10246782996720 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 10246782996720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18359210649600).

10246782996720 is an abundant number, since it is smaller than the sum of its proper divisors (26471638302480).

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

10246782996720 is a wasteful number, since it uses less digits than its factorization.

10246782996720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294 (or 6282 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 10246782996720 in words is "ten trillion, two hundred forty-six billion, seven hundred eighty-two million, nine hundred ninety-six thousand, seven hundred twenty".