1016478720 has 528 divisors, whose sum is σ = 3934170240. Its totient is φ = 250822656.

The previous prime is 1016478719. The next prime is 1016478787. The reversal of 1016478720 is 278746101.

1016478720 is a `hidden beast` number, since 1 + 0 + 1 + 647 + 8 + 7 + 2 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 23639019 + ... + 23639061.

It is an arithmetic number, because the mean of its divisors is an integer number (7451080).

Almost surely, 2^1016478720 is an apocalyptic number.

1016478720 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 1016478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967085120).

1016478720 is an abundant number, since it is smaller than the sum of its proper divisors (2917691520).

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

1016478720 is an equidigital number, since it uses as much as digits as its factorization.

1016478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1016478720 is about 31882.2634077319. The cubic root of 1016478720 is about 1005.4630078649.

The spelling of 1016478720 in words is "one billion, sixteen million, four hundred seventy-eight thousand, seven hundred twenty".