9001399680 has 576 divisors, whose sum is σ = 38495265120. Its totient is φ = 1897758720.

The previous prime is 9001399643. The next prime is 9001399703. The reversal of 9001399680 is 869931009.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6813420 + ... + 6814740.

Almost surely, 2^9001399680 is an apocalyptic number.

9001399680 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 9001399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247632560).

9001399680 is an abundant number, since it is smaller than the sum of its proper divisors (29493865440).

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

9001399680 is a wasteful number, since it uses less digits than its factorization.

9001399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 9001399680 is about 94875.7064795831. The cubic root of 9001399680 is about 2080.1916490078.

It can be divided in two parts, 900 and 1399680, that multiplied together give a cube (1259712000 = 1080³).

The spelling of 9001399680 in words is "nine billion, one million, three hundred ninety-nine thousand, six hundred eighty".