7811673480 has 384 divisors, whose sum is σ = 28502323200. Its totient is φ = 1902071808.

The previous prime is 7811673473. The next prime is 7811673491. The reversal of 7811673480 is 843761187.

7811673480 is a `hidden beast` number, since 7 + 8 + 1 + 167 + 3 + 480 = 666.

It is a super-2 number, since 2×7811673480² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23179872 + ... + 23180208.

It is an arithmetic number, because the mean of its divisors is an integer number (74224800).

Almost surely, 2^7811673480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7811673480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14251161600).

7811673480 is an abundant number, since it is smaller than the sum of its proper divisors (20690649720).

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

7811673480 is a wasteful number, since it uses less digits than its factorization.

7811673480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7811673480 is about 88383.6720214769. The cubic root of 7811673480 is about 1984.1813381609.

The spelling of 7811673480 in words is "seven billion, eight hundred eleven million, six hundred seventy-three thousand, four hundred eighty".