1479680000 has 210 divisors, whose sum is σ = 3928102761. Its totient is φ = 557056000.

The previous prime is 1479679937. The next prime is 1479680011. The reversal of 1479680000 is 869741.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 200704 + 1479479296 = 448^2 + 38464^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=27200.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 87039992 + ... + 87040008.

Almost surely, 2^1479680000 is an apocalyptic number.

1479680000 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 1479680000

1479680000 is an abundant number, since it is smaller than the sum of its proper divisors (2448422761).

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

1479680000 is an frugal number, since it uses more digits than its factorization.

1479680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 1479680000 is about 38466.6088965482. The cubic root of 1479680000 is about 1139.5217035305.

The spelling of 1479680000 in words is "one billion, four hundred seventy-nine million, six hundred eighty thousand".