7167666240 has 448 divisors, whose sum is σ = 29838213120. Its totient is φ = 1585059840.

The previous prime is 7167666227. The next prime is 7167666241. The reversal of 7167666240 is 426667617.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (7167666241) 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, 1872969 + ... + 1876791.

Almost surely, 2^7167666240 is an apocalyptic number.

7167666240 is a gapful number since it is divisible by the number (70) 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 7167666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14919106560).

7167666240 is an abundant number, since it is smaller than the sum of its proper divisors (22670546880).

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

7167666240 is a wasteful number, since it uses less digits than its factorization.

7167666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7167666240 is about 84662.0708463950. The cubic root of 7167666240 is about 1928.0838849426.

The spelling of 7167666240 in words is "seven billion, one hundred sixty-seven million, six hundred sixty-six thousand, two hundred forty".