7073740800 has 1152 divisors, whose sum is σ = 32172940800. Its totient is φ = 1486356480.

The previous prime is 7073740777. The next prime is 7073740801. The reversal of 7073740800 is 80473707.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7073740801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164505579 + ... + 164505621.

It is an arithmetic number, because the mean of its divisors is an integer number (27927900).

Almost surely, 2^7073740800 is an apocalyptic number.

7073740800 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 7073740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16086470400).

7073740800 is an abundant number, since it is smaller than the sum of its proper divisors (25099200000).

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

7073740800 is a wasteful number, since it uses less digits than its factorization.

7073740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 7073740800 is about 84105.5337061718. The cubic root of 7073740800 is about 1919.6249267340.

The spelling of 7073740800 in words is "seven billion, seventy-three million, seven hundred forty thousand, eight hundred".