10435078368 has 480 divisors, whose sum is σ = 36883123200. Its totient is φ = 2852029440.

The previous prime is 10435078349. The next prime is 10435078393. The reversal of 10435078368 is 86387053401.

10435078368 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 507 + 83 + 68 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17420533 + ... + 17421131.

It is an arithmetic number, because the mean of its divisors is an integer number (76839840).

Almost surely, 2^10435078368 is an apocalyptic number.

10435078368 is a gapful number since it is divisible by the number (18) 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 10435078368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18441561600).

10435078368 is an abundant number, since it is smaller than the sum of its proper divisors (26448044832).

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

10435078368 is a wasteful number, since it uses less digits than its factorization.

10435078368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10435078368 in words is "ten billion, four hundred thirty-five million, seventy-eight thousand, three hundred sixty-eight".