9427639680 has 512 divisors, whose sum is σ = 35956224000. Its totient is φ = 2325970944.

The previous prime is 9427639673. The next prime is 9427639681. The reversal of 9427639680 is 869367249.

It is a happy number.

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 (9427639681) 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, 19681681 + ... + 19682159.

It is an arithmetic number, because the mean of its divisors is an integer number (70227000).

Almost surely, 2^9427639680 is an apocalyptic number.

9427639680 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 9427639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978112000).

9427639680 is an abundant number, since it is smaller than the sum of its proper divisors (26528584320).

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

9427639680 is a wasteful number, since it uses less digits than its factorization.

9427639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 9427639680 is about 97096.0332866384. The cubic root of 9427639680 is about 2112.5207909908.

It can be divided in two parts, 94276 and 39680, that added together give a square (133956 = 366²).

The spelling of 9427639680 in words is "nine billion, four hundred twenty-seven million, six hundred thirty-nine thousand, six hundred eighty".