1478065680 has 480 divisors, whose sum is σ = 6473585664. Its totient is φ = 293289984.

The previous prime is 1478065679. The next prime is 1478065681. The reversal of 1478065680 is 865608741.

It is a happy number.

1478065680 is a `hidden beast` number, since 1 + 4 + 7 + 80 + 6 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1478065679) and next prime (1478065681).

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

It is not an unprimeable number, because it can be changed into a prime (1478065681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1113177 + ... + 1114503.

Almost surely, 2^1478065680 is an apocalyptic number.

1478065680 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 1478065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236792832).

1478065680 is an abundant number, since it is smaller than the sum of its proper divisors (4995519984).

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

1478065680 is a wasteful number, since it uses less digits than its factorization.

1478065680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1478065680 is about 38445.6197765103. The cubic root of 1478065680 is about 1139.1071494688.

The spelling of 1478065680 in words is "one billion, four hundred seventy-eight million, sixty-five thousand, six hundred eighty".