5090226624 has 420 divisors, whose sum is σ = 18184078440. Its totient is φ = 1402168320.

The previous prime is 5090226613. The next prime is 5090226637. The reversal of 5090226624 is 4266220905.

5090226624 is a `hidden beast` number, since 5 + 0 + 9 + 0 + 2 + 26 + 624 = 666.

It is a super-3 number, since 3×5090226624³ (a number of 30 digits) contains 333 as substring.

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 59 ways as a sum of consecutive naturals, for example, 7366119 + ... + 7366809.

Almost surely, 2^5090226624 is an apocalyptic number.

5090226624 is a gapful number since it is divisible by the number (54) 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 5090226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9092039220).

5090226624 is an abundant number, since it is smaller than the sum of its proper divisors (13093851816).

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

5090226624 is a wasteful number, since it uses less digits than its factorization.

5090226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5090226624 is about 71345.8241525038. The cubic root of 5090226624 is about 1720.2003804766.

The spelling of 5090226624 in words is "five billion, ninety million, two hundred twenty-six thousand, six hundred twenty-four".