506780064 has 480 divisors, whose sum is σ = 1896846336. Its totient is φ = 129392640.

The previous prime is 506780063. The next prime is 506780077. The reversal of 506780064 is 460087605.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (506780063) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9561862 + ... + 9561914.

Almost surely, 2^506780064 is an apocalyptic number.

506780064 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 506780064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948423168).

506780064 is an abundant number, since it is smaller than the sum of its proper divisors (1390066272).

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

506780064 is a wasteful number, since it uses less digits than its factorization.

506780064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

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

The square root of 506780064 is about 22511.7761182897. The cubic root of 506780064 is about 797.2719913684.

The spelling of 506780064 in words is "five hundred six million, seven hundred eighty thousand, sixty-four".