7671367872 has 420 divisors, whose sum is σ = 26935648440. Its totient is φ = 2140846848.

The previous prime is 7671367811. The next prime is 7671367901. The reversal of 7671367872 is 2787631767.

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 is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 178403883 + ... + 178403925.

Almost surely, 2^7671367872 is an apocalyptic number.

7671367872 is a gapful number since it is divisible by the number (72) 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 7671367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13467824220).

7671367872 is an abundant number, since it is smaller than the sum of its proper divisors (19264280568).

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

7671367872 is an frugal number, since it uses more digits than its factorization.

7671367872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 55 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The square root of 7671367872 is about 87586.3452371430. The cubic root of 7671367872 is about 1972.2301928235.

7671367872 divided by its product of digits (4148928) gives a square (1849 = 43²).

The spelling of 7671367872 in words is "seven billion, six hundred seventy-one million, three hundred sixty-seven thousand, eight hundred seventy-two".