7300474272000 has 4032 divisors, whose sum is σ = 35520990435840. Its totient is φ = 1451188224000.

The previous prime is 7300474271957. The next prime is 7300474272043. The reversal of 7300474272000 is 2724740037.

It is an interprime number because it is at equal distance from previous prime (7300474271957) and next prime (7300474272043).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×7300474272000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 40334111910 + ... + 40334112090.

Almost surely, 2^{7300474272000} is an apocalyptic number.

7300474272000 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 7300474272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17760495217920).

7300474272000 is an abundant number, since it is smaller than the sum of its proper divisors (28220516163840).

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

7300474272000 is a wasteful number, since it uses less digits than its factorization.

7300474272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The spelling of 7300474272000 in words is "seven trillion, three hundred billion, four hundred seventy-four million, two hundred seventy-two thousand".