4892088960 has 640 divisors, whose sum is σ = 19940722560. Its totient is φ = 1131356160.

The previous prime is 4892088947. The next prime is 4892088961. The reversal of 4892088960 is 698802984.

4892088960 is a `hidden beast` number, since 489 + 20 + 8 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 4892088897 and 4892088906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4892088961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13115334 + ... + 13115706.

It is an arithmetic number, because the mean of its divisors is an integer number (31157379).

Almost surely, 2^4892088960 is an apocalyptic number.

4892088960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4892088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9970361280).

4892088960 is an abundant number, since it is smaller than the sum of its proper divisors (15048633600).

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

4892088960 is a wasteful number, since it uses less digits than its factorization.

4892088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 4892088960 is about 69943.4697452164. The cubic root of 4892088960 is about 1697.5846853508.

The spelling of 4892088960 in words is "four billion, eight hundred ninety-two million, eighty-eight thousand, nine hundred sixty".