9142087680 has 624 divisors, whose sum is σ = 36064514304. Its totient is φ = 2202992640.

The previous prime is 9142087673. The next prime is 9142087681. The reversal of 9142087680 is 867802419.

9142087680 is a `hidden beast` number, since 91 + 420 + 87 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9142087681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54742957 + ... + 54743123.

It is an arithmetic number, because the mean of its divisors is an integer number (57795696).

Almost surely, 2^9142087680 is an apocalyptic number.

9142087680 is a gapful number since it is divisible by the number (90) 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 9142087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18032257152).

9142087680 is an abundant number, since it is smaller than the sum of its proper divisors (26922426624).

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

9142087680 is a wasteful number, since it uses less digits than its factorization.

9142087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 9142087680 is about 95614.2650445006. The cubic root of 9142087680 is about 2090.9731722401.

The spelling of 9142087680 in words is "nine billion, one hundred forty-two million, eighty-seven thousand, six hundred eighty".