7417028736 has 576 divisors, whose sum is σ = 25682922720. Its totient is φ = 2122039296.

The previous prime is 7417028713. The next prime is 7417028743. The reversal of 7417028736 is 6378207147.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 7417028691 and 7417028700.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 89361751 + ... + 89361833.

Almost surely, 2^7417028736 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 7417028736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841461360).

7417028736 is an abundant number, since it is smaller than the sum of its proper divisors (18265893984).

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

7417028736 is a wasteful number, since it uses less digits than its factorization.

7417028736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 7417028736 is about 86122.1733121035. The cubic root of 7417028736 is about 1950.1887817232.

The spelling of 7417028736 in words is "seven billion, four hundred seventeen million, twenty-eight thousand, seven hundred thirty-six".