7273606896000 has 640 divisors, whose sum is σ = 27080576471520. Its totient is φ = 1934876160000.

The previous prime is 7273606895977. The next prime is 7273606896007. The reversal of 7273606896000 is 6986063727.

7273606896000 is a `hidden beast` number, since 7 + 27 + 3 + 6 + 0 + 6 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7273606896007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 545609335 + ... + 545622665.

Almost surely, 2^{7273606896000} 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 7273606896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540288235760).

7273606896000 is an abundant number, since it is smaller than the sum of its proper divisors (19806969575520).

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

7273606896000 is a wasteful number, since it uses less digits than its factorization.

7273606896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13793 (or 13762 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 7273606896000 in words is "seven trillion, two hundred seventy-three billion, six hundred six million, eight hundred ninety-six thousand".