7273663488000 has 3584 divisors, whose sum is σ = 34349253120000. Its totient is φ = 1508651827200.

The previous prime is 7273663487969. The next prime is 7273663488031. The reversal of 7273663488000 is 8843663727.

7273663488000 is a `hidden beast` number, since 72 + 7 + 36 + 63 + 488 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7273663487969) and next prime (7273663488031).

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-2 number, since 2×7273663488000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 123282431971 + ... + 123282432029.

It is an arithmetic number, because the mean of its divisors is an integer number (9584055000).

Almost surely, 2^{7273663488000} is an apocalyptic number.

7273663488000 is a gapful number since it is divisible by the number (70) 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 7273663488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17174626560000).

7273663488000 is an abundant number, since it is smaller than the sum of its proper divisors (27075589632000).

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

7273663488000 is an equidigital number, since it uses as much as digits as its factorization.

7273663488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 7273663488000 in words is "seven trillion, two hundred seventy-three billion, six hundred sixty-three million, four hundred eighty-eight thousand".