7542429120 has 336 divisors, whose sum is σ = 26560759680. Its totient is φ = 1964095488.

The previous prime is 7542429113. The next prime is 7542429137. The reversal of 7542429120 is 219242457.

7542429120 is a `hidden beast` number, since 7 + 542 + 4 + 2 + 91 + 20 = 666.

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 47 ways as a sum of consecutive naturals, for example, 33226447 + ... + 33226673.

It is an arithmetic number, because the mean of its divisors is an integer number (79049880).

Almost surely, 2^7542429120 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 7542429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280379840).

7542429120 is an abundant number, since it is smaller than the sum of its proper divisors (19018330560).

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

7542429120 is a wasteful number, since it uses less digits than its factorization.

7542429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7542429120 is about 86847.1595390431. The cubic root of 7542429120 is about 1961.1180903669.

The spelling of 7542429120 in words is "seven billion, five hundred forty-two million, four hundred twenty-nine thousand, one hundred twenty".