9007361987904 has 224 divisors, whose sum is σ = 30270954504960. Its totient is φ = 2572841097216.

The previous prime is 9007361987881. The next prime is 9007361987909. The reversal of 9007361987904 is 4097891637009.

9007361987904 is a `hidden beast` number, since 9 + 0 + 0 + 7 + 3 + 619 + 8 + 7 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×9007361987904² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 (9007361987909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45830454 + ... + 46026570.

Almost surely, 2^{9007361987904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9007361987904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135477252480).

9007361987904 is an abundant number, since it is smaller than the sum of its proper divisors (21263592517056).

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

9007361987904 is a wasteful number, since it uses less digits than its factorization.

9007361987904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199942 (or 199926 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 9007361987904 in words is "nine trillion, seven billion, three hundred sixty-one million, nine hundred eighty-seven thousand, nine hundred four".