4975762176 has 288 divisors, whose sum is σ = 18346944000. Its totient is φ = 1292267520.

The previous prime is 4975762159. The next prime is 4975762193. The reversal of 4975762176 is 6712675794.

4975762176 is a `hidden beast` number, since 4 + 9 + 7 + 5 + 7 + 621 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4975762159) and next prime (4975762193).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4975762176² = 49516418464224509952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527550 + ... + 536898.

Almost surely, 2^4975762176 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 4975762176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9173472000).

4975762176 is an abundant number, since it is smaller than the sum of its proper divisors (13371181824).

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

4975762176 is a wasteful number, since it uses less digits than its factorization.

4975762176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9392 (or 9372 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 4975762176 is about 70539.0826138248. The cubic root of 4975762176 is about 1707.2083968192.

The spelling of 4975762176 in words is "four billion, nine hundred seventy-five million, seven hundred sixty-two thousand, one hundred seventy-six".