5064776640 has 896 divisors, whose sum is σ = 23315005440. Its totient is φ = 1003622400.

The previous prime is 5064776609. The next prime is 5064776671. The reversal of 5064776640 is 466774605.

It is a happy number.

5064776640 is a `hidden beast` number, since 506 + 47 + 7 + 66 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5064776609) and next prime (5064776671).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15301275 + ... + 15301605.

Almost surely, 2^5064776640 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 5064776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11657502720).

5064776640 is an abundant number, since it is smaller than the sum of its proper divisors (18250228800).

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

5064776640 is a wasteful number, since it uses less digits than its factorization.

5064776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 5064776640 is about 71167.2441506625. The cubic root of 5064776640 is about 1717.3287180690.

The spelling of 5064776640 in words is "five billion, sixty-four million, seven hundred seventy-six thousand, six hundred forty".