10379904480 has 288 divisors, whose sum is σ = 38740796640. Its totient is φ = 2509885440.

The previous prime is 10379904473. The next prime is 10379904481. The reversal of 10379904480 is 8440997301.

10379904480 is a `hidden beast` number, since 10 + 3 + 79 + 90 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379904481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9709386 + ... + 9710454.

It is an arithmetic number, because the mean of its divisors is an integer number (134516655).

Almost surely, 2^10379904480 is an apocalyptic number.

10379904480 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 10379904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19370398320).

10379904480 is an abundant number, since it is smaller than the sum of its proper divisors (28360892160).

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

10379904480 is a wasteful number, since it uses less digits than its factorization.

10379904480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10379904480 in words is "ten billion, three hundred seventy-nine million, nine hundred four thousand, four hundred eighty".