1471975680 has 216 divisors, whose sum is σ = 5469351552. Its totient is φ = 336408576.

The previous prime is 1471975669. The next prime is 1471975691. The reversal of 1471975680 is 865791741.

It is an interprime number because it is at equal distance from previous prime (1471975669) and next prime (1471975691).

It is a super-2 number, since 2×1471975680² = 4333424805022924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 184249 + ... + 192071.

It is an arithmetic number, because the mean of its divisors is an integer number (25321072).

Almost surely, 2^1471975680 is an apocalyptic number.

1471975680 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 1471975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734675776).

1471975680 is an abundant number, since it is smaller than the sum of its proper divisors (3997375872).

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

1471975680 is an equidigital number, since it uses as much as digits as its factorization.

1471975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7840 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The square root of 1471975680 is about 38366.3352432833. The cubic root of 1471975680 is about 1137.5405271557.

The spelling of 1471975680 in words is "one billion, four hundred seventy-one million, nine hundred seventy-five thousand, six hundred eighty".