9006698473920 has 560 divisors, whose sum is σ = 36697207377600. Its totient is φ = 2054070337536.

The previous prime is 9006698473889. The next prime is 9006698473921. The reversal of 9006698473920 is 293748966009.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×9006698473920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9006698473921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81411282 + ... + 81521838.

It is an arithmetic number, because the mean of its divisors is an integer number (65530727460).

Almost surely, 2^{9006698473920} is an apocalyptic number.

9006698473920 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 9006698473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18348603688800).

9006698473920 is an abundant number, since it is smaller than the sum of its proper divisors (27690508903680).

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

9006698473920 is a wasteful number, since it uses less digits than its factorization.

9006698473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111042 (or 111023 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 9006698473920 in words is "nine trillion, six billion, six hundred ninety-eight million, four hundred seventy-three thousand, nine hundred twenty".