7273564929792 has 864 divisors, whose sum is σ = 26689009515840. Its totient is φ = 1941429288960.

The previous prime is 7273564929749. The next prime is 7273564929811. The reversal of 7273564929792 is 2979294653727.

7273564929792 is a `hidden beast` number, since 7 + 273 + 5 + 64 + 9 + 297 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 7273564929792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 788799742 + ... + 788808962.

It is an arithmetic number, because the mean of its divisors is an integer number (30890057310).

Almost surely, 2^{7273564929792} is an apocalyptic number.

7273564929792 is a gapful number since it is divisible by the number (72) 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 7273564929792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344504757920).

7273564929792 is an abundant number, since it is smaller than the sum of its proper divisors (19415444586048).

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

7273564929792 is a wasteful number, since it uses less digits than its factorization.

7273564929792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9414 (or 9387 counting only the distinct ones).

The product of its digits is 720135360, while the sum is 72.

The spelling of 7273564929792 in words is "seven trillion, two hundred seventy-three billion, five hundred sixty-four million, nine hundred twenty-nine thousand, seven hundred ninety-two".