4167622080 has 336 divisors, whose sum is σ = 15842309184. Its totient is φ = 1000243200.

The previous prime is 4167622037. The next prime is 4167622091. The reversal of 4167622080 is 802267614.

4167622080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124230 + ... + 1127930.

Almost surely, 2^4167622080 is an apocalyptic number.

4167622080 is a gapful number since it is divisible by the number (40) 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 4167622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921154592).

4167622080 is an abundant number, since it is smaller than the sum of its proper divisors (11674687104).

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

4167622080 is a wasteful number, since it uses less digits than its factorization.

4167622080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4167622080 is about 64557.1226124585. The cubic root of 4167622080 is about 1609.2719571341.

Adding to 4167622080 its reverse (802267614), we get a palindrome (4969889694).

The spelling of 4167622080 in words is "four billion, one hundred sixty-seven million, six hundred twenty-two thousand, eighty".