5367781440 has 672 divisors, whose sum is σ = 22794163200. Its totient is φ = 1184440320.

The previous prime is 5367781429. The next prime is 5367781453. The reversal of 5367781440 is 441877635.

5367781440 is a `hidden beast` number, since 536 + 7 + 78 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13123956 + ... + 13124364.

Almost surely, 2^5367781440 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 5367781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11397081600).

5367781440 is an abundant number, since it is smaller than the sum of its proper divisors (17426381760).

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

5367781440 is a wasteful number, since it uses less digits than its factorization.

5367781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5367781440 is about 73265.1447824953. The cubic root of 5367781440 is about 1750.9145086828.

The spelling of 5367781440 in words is "five billion, three hundred sixty-seven million, seven hundred eighty-one thousand, four hundred forty".