7867881216 has 576 divisors, whose sum is σ = 27031818240. Its totient is φ = 2266361856.

The previous prime is 7867881211. The next prime is 7867881253. The reversal of 7867881216 is 6121887687.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7867881211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167401705 + ... + 167401751.

It is an arithmetic number, because the mean of its divisors is an integer number (46930240).

Almost surely, 2^7867881216 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 7867881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13515909120).

7867881216 is an abundant number, since it is smaller than the sum of its proper divisors (19163937024).

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

7867881216 is an equidigital number, since it uses as much as digits as its factorization.

7867881216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 7867881216 is about 88701.0778739469. The cubic root of 7867881216 is about 1988.9289301196.

The spelling of 7867881216 in words is "seven billion, eight hundred sixty-seven million, eight hundred eighty-one thousand, two hundred sixteen".