5033768040 has 576 divisors, whose sum is σ = 20935324800. Its totient is φ = 1041030144.

The previous prime is 5033768029. The next prime is 5033768041. The reversal of 5033768040 is 408673305.

It is a happy number.

5033768040 is a `hidden beast` number, since 503 + 3 + 76 + 80 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5033767986 and 5033768004.

It is not an unprimeable number, because it can be changed into a prime (5033768041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7708354 + ... + 7709006.

It is an arithmetic number, because the mean of its divisors is an integer number (36346050).

Almost surely, 2^5033768040 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 5033768040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10467662400).

5033768040 is an abundant number, since it is smaller than the sum of its proper divisors (15901556760).

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

5033768040 is a wasteful number, since it uses less digits than its factorization.

5033768040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5033768040 is about 70949.0524249620. The cubic root of 5033768040 is about 1713.8168154469.

The spelling of 5033768040 in words is "five billion, thirty-three million, seven hundred sixty-eight thousand, forty".