5177168640 has 864 divisors, whose sum is σ = 22448025600. Its totient is φ = 1074954240.

The previous prime is 5177168629. The next prime is 5177168651. The reversal of 5177168640 is 468617715.

5177168640 is a `hidden beast` number, since 517 + 7 + 16 + 86 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5177168629) and next prime (5177168651).

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 95 ways as a sum of consecutive naturals, for example, 47496906 + ... + 47497014.

Almost surely, 2^5177168640 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 5177168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11224012800).

5177168640 is an abundant number, since it is smaller than the sum of its proper divisors (17270856960).

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

5177168640 is a wasteful number, since it uses less digits than its factorization.

5177168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5177168640 is about 71952.5443608494. The cubic root of 5177168640 is about 1729.9389244145.

The spelling of 5177168640 in words is "five billion, one hundred seventy-seven million, one hundred sixty-eight thousand, six hundred forty".