5077693440 has 352 divisors, whose sum is σ = 18841570560. Its totient is φ = 1294368768.

The previous prime is 5077693403. The next prime is 5077693441. The reversal of 5077693440 is 443967705.

5077693440 is a `hidden beast` number, since 50 + 7 + 76 + 93 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077693441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3178722 + ... + 3180318.

Almost surely, 2^5077693440 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 5077693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9420785280).

5077693440 is an abundant number, since it is smaller than the sum of its proper divisors (13763877120).

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

5077693440 is a wasteful number, since it uses less digits than its factorization.

5077693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 5077693440 is about 71257.9359790894. The cubic root of 5077693440 is about 1718.7873912042.

The spelling of 5077693440 in words is "five billion, seventy-seven million, six hundred ninety-three thousand, four hundred forty".