10479006720 has 1408 divisors, whose sum is σ = 49521024000. Its totient is φ = 2080899072.

The previous prime is 10479006691. The next prime is 10479006739. The reversal of 10479006720 is 2760097401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 616412152 + ... + 616412168.

Almost surely, 2^10479006720 is an apocalyptic number.

10479006720 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 10479006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760512000).

10479006720 is an abundant number, since it is smaller than the sum of its proper divisors (39042017280).

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

10479006720 is a wasteful number, since it uses less digits than its factorization.

10479006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10479006720 in words is "ten billion, four hundred seventy-nine million, six thousand, seven hundred twenty".