5144920704 has 384 divisors, whose sum is σ = 19063848960. Its totient is φ = 1292544000.

The previous prime is 5144920691. The next prime is 5144920721. The reversal of 5144920704 is 4070294415.

It is a happy number.

5144920704 is a `hidden beast` number, since 5 + 1 + 449 + 207 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 2748889 + ... + 2750759.

It is an arithmetic number, because the mean of its divisors is an integer number (49645440).

Almost surely, 2^5144920704 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 5144920704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9531924480).

5144920704 is an abundant number, since it is smaller than the sum of its proper divisors (13918928256).

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

5144920704 is a wasteful number, since it uses less digits than its factorization.

5144920704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1925 counting only the distinct ones).

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

The square root of 5144920704 is about 71728.1026097861. The cubic root of 5144920704 is about 1726.3395830174.

The spelling of 5144920704 in words is "five billion, one hundred forty-four million, nine hundred twenty thousand, seven hundred four".