10768623840 has 192 divisors, whose sum is σ = 40589640000. Its totient is φ = 2650724352.

The previous prime is 10768623829. The next prime is 10768623907. The reversal of 10768623840 is 4832686701.

10768623840 is a `hidden beast` number, since 10 + 7 + 6 + 8 + 623 + 8 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39715 + ... + 152034.

It is an arithmetic number, because the mean of its divisors is an integer number (211404375).

Almost surely, 2^10768623840 is an apocalyptic number.

10768623840 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 10768623840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20294820000).

10768623840 is an abundant number, since it is smaller than the sum of its proper divisors (29821016160).

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

10768623840 is a wasteful number, since it uses less digits than its factorization.

10768623840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191786 (or 191772 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10768623840 in words is "ten billion, seven hundred sixty-eight million, six hundred twenty-three thousand, eight hundred forty".