7416135552 has 128 divisors (see below), whose sum is σ = 23122045440. Its totient is φ = 2061600768.

The previous prime is 7416135497. The next prime is 7416135583. The reversal of 7416135552 is 2555316147.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 7416135552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62173 + ... + 136739.

It is an arithmetic number, because the mean of its divisors is an integer number (180640980).

Almost surely, 2^7416135552 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 7416135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11561022720).

7416135552 is an abundant number, since it is smaller than the sum of its proper divisors (15705909888).

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

7416135552 is a wasteful number, since it uses less digits than its factorization.

7416135552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74628 (or 74616 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 7416135552 is about 86116.9875924605. The cubic root of 7416135552 is about 1950.1104957768.

The spelling of 7416135552 in words is "seven billion, four hundred sixteen million, one hundred thirty-five thousand, five hundred fifty-two".