9672530293440 has 2240 divisors, whose sum is σ = 44214473318400. Its totient is φ = 1956416716800.

The previous prime is 9672530293429. The next prime is 9672530293477. The reversal of 9672530293440 is 443920352769.

9672530293440 is a `hidden beast` number, since 9 + 6 + 72 + 530 + 2 + 9 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3099175080 + ... + 3099178200.

It is an arithmetic number, because the mean of its divisors is an integer number (19738604160).

Almost surely, 2^{9672530293440} is an apocalyptic number.

9672530293440 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 9672530293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22107236659200).

9672530293440 is an abundant number, since it is smaller than the sum of its proper divisors (34541943024960).

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

9672530293440 is a wasteful number, since it uses less digits than its factorization.

9672530293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 9672530293440 in words is "nine trillion, six hundred seventy-two billion, five hundred thirty million, two hundred ninety-three thousand, four hundred forty".