5040376320 has 640 divisors, whose sum is σ = 19728023040. Its totient is φ = 1073479680.

The previous prime is 5040376307. The next prime is 5040376337. The reversal of 5040376320 is 236730405.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82629090 + ... + 82629150.

It is an arithmetic number, because the mean of its divisors is an integer number (30825036).

Almost surely, 2^5040376320 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 5040376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864011520).

5040376320 is an abundant number, since it is smaller than the sum of its proper divisors (14687646720).

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

5040376320 is a wasteful number, since it uses less digits than its factorization.

5040376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 5040376320 is about 70995.6077514659. The cubic root of 5040376320 is about 1714.5664479924.

The spelling of 5040376320 in words is "five billion, forty million, three hundred seventy-six thousand, three hundred twenty".