5202078336 has 768 divisors, whose sum is σ = 20511792000. Its totient is φ = 1281982464.

The previous prime is 5202078317. The next prime is 5202078361. The reversal of 5202078336 is 6338702025.

5202078336 is a `hidden beast` number, since 520 + 20 + 7 + 83 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5202078336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37424955 + ... + 37425093.

Almost surely, 2^5202078336 is an apocalyptic number.

5202078336 is a gapful number since it is divisible by the number (56) 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 5202078336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10255896000).

5202078336 is an abundant number, since it is smaller than the sum of its proper divisors (15309713664).

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

5202078336 is a wasteful number, since it uses less digits than its factorization.

5202078336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

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

The square root of 5202078336 is about 72125.4347369914. The cubic root of 5202078336 is about 1732.7089922354.

The spelling of 5202078336 in words is "five billion, two hundred two million, seventy-eight thousand, three hundred thirty-six".