7120742400 has 720 divisors, whose sum is σ = 28201593420. Its totient is φ = 1769472000.

The previous prime is 7120742399. The next prime is 7120742401. The reversal of 7120742400 is 42470217.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7120742399) and next prime (7120742401).

It can be written as a sum of positive squares in 6 ways, for example, as 5563966464 + 1556775936 = 74592^2 + 39456^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7120742401) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 70502350 + ... + 70502450.

Almost surely, 2^7120742400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7120742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100796710).

7120742400 is an abundant number, since it is smaller than the sum of its proper divisors (21080851020).

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

7120742400 is a wasteful number, since it uses less digits than its factorization.

7120742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 7120742400 is about 84384.4914661456. The cubic root of 7120742400 is about 1923.8672055627.

The spelling of 7120742400 in words is "seven billion, one hundred twenty million, seven hundred forty-two thousand, four hundred".