7200738549504 has 432 divisors, whose sum is σ = 22143558947328. Its totient is φ = 2332080377856.

The previous prime is 7200738549481. The next prime is 7200738549517. The reversal of 7200738549504 is 4059458370027.

It is a happy number.

7200738549504 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 73 + 85 + 495 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2041602589 + ... + 2041606115.

It is an arithmetic number, because the mean of its divisors is an integer number (51258238304).

Almost surely, 2^{7200738549504} is an apocalyptic number.

7200738549504 is a gapful number since it is divisible by the number (74) 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 7200738549504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11071779473664).

7200738549504 is an abundant number, since it is smaller than the sum of its proper divisors (14942820397824).

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

7200738549504 is an equidigital number, since it uses as much as digits as its factorization.

7200738549504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 7200738549504 in words is "seven trillion, two hundred billion, seven hundred thirty-eight million, five hundred forty-nine thousand, five hundred four".