5178032640 has 240 divisors, whose sum is σ = 19564212096. Its totient is φ = 1255219200.

The previous prime is 5178032633. The next prime is 5178032693. The reversal of 5178032640 is 462308715.

5178032640 is a `hidden beast` number, since 5 + 1 + 7 + 8 + 0 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 5178032595 and 5178032604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243225 + ... + 263655.

Almost surely, 2^5178032640 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 5178032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9782106048).

5178032640 is an abundant number, since it is smaller than the sum of its proper divisors (14386179456).

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

5178032640 is a wasteful number, since it uses less digits than its factorization.

5178032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20471 (or 20452 counting only the distinct ones).

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

The square root of 5178032640 is about 71958.5480676202. The cubic root of 5178032640 is about 1730.0351535953.

The spelling of 5178032640 in words is "five billion, one hundred seventy-eight million, thirty-two thousand, six hundred forty".