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999999999744000 = 2113538325162501

999999999744000 has 768 divisors, whose sum is σ = 3380743620334080. Its totient is φ = 262400000000000.

The previous prime is 999999999743971. The next prime is 999999999744061. The reversal of 999999999744000 is 447999999999.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (96).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 999999999744000.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 500008 × 499992 × 4000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15999712750 + ... + 15999775250.

It is an arithmetic number, because the mean of its divisors is an integer number (4402009922310).

Almost surely, 2999999999744000 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 999999999744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690371810167040).

999999999744000 is an abundant number, since it is smaller than the sum of its proper divisors (2380743620590080).

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

999999999744000 is a wasteful number, since it uses less digits than its factorization.

999999999744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62875 (or 62845 counting only the distinct ones).

The product of its (nonzero) digits is 43391094768, while the sum is 96.

The spelling of 999999999744000 in words is "nine hundred ninety-nine trillion, nine hundred ninety-nine billion, nine hundred ninety-nine million, seven hundred forty-four thousand".