10078328640 has 112 divisors (see below), whose sum is σ = 32065886592. Its totient is φ = 2681911296.

The previous prime is 10078328633. The next prime is 10078328641. The reversal of 10078328640 is 4682387001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10078328641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456742 + ... + 478298.

Almost surely, 2^10078328640 is an apocalyptic number.

10078328640 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 10078328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16032943296).

10078328640 is an abundant number, since it is smaller than the sum of its proper divisors (21987557952).

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

10078328640 is a wasteful number, since it uses less digits than its factorization.

10078328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22064 (or 22054 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 10078328640 in words is "ten billion, seventy-eight million, three hundred twenty-eight thousand, six hundred forty".