7362028800000 has 2592 divisors, whose sum is σ = 33036857380800. Its totient is φ = 1542758400000.

The previous prime is 7362028799989. The next prime is 7362028800011. The reversal of 7362028800000 is 88202637.

It is a happy number.

7362028800000 is a `hidden beast` number, since 7 + 3 + 620 + 28 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7362028799989) and next prime (7362028800011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 237484799985 + ... + 237484800015.

It is an arithmetic number, because the mean of its divisors is an integer number (12745701150).

Almost surely, 2^{7362028800000} is an apocalyptic number.

7362028800000 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 7362028800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518428690400).

7362028800000 is an abundant number, since it is smaller than the sum of its proper divisors (25674828580800).

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

7362028800000 is an equidigital number, since it uses as much as digits as its factorization.

7362028800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 7362028800000 in words is "seven trillion, three hundred sixty-two billion, twenty-eight million, eight hundred thousand".