7263730073600 has 1632 divisors, whose sum is σ = 24989271250944. Its totient is φ = 2021444812800.

The previous prime is 7263730073573. The next prime is 7263730073627. The reversal of 7263730073600 is 63700373627.

It is an interprime number because it is at equal distance from previous prime (7263730073573) and next prime (7263730073627).

It is a super-2 number, since 2×7263730073600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 95 ways as a sum of consecutive naturals, for example, 70521651149 + ... + 70521651251.

Almost surely, 2^{7263730073600} is an apocalyptic number.

7263730073600 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 7263730073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12494635625472).

7263730073600 is an abundant number, since it is smaller than the sum of its proper divisors (17725541177344).

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

7263730073600 is a wasteful number, since it uses less digits than its factorization.

7263730073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 44.

The spelling of 7263730073600 in words is "seven trillion, two hundred sixty-three billion, seven hundred thirty million, seventy-three thousand, six hundred".