4892912640 has 792 divisors, whose sum is σ = 21623885712. Its totient is φ = 1011548160.

The previous prime is 4892912639. The next prime is 4892912641. The reversal of 4892912640 is 462192984.

4892912640 is a `hidden beast` number, since 489 + 2 + 9 + 126 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4892912639) and next prime (4892912641).

It is a tau number, because it is divible by the number of its divisors (792).

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

It is not an unprimeable number, because it can be changed into a prime (4892912641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24837022 + ... + 24837218.

It is an arithmetic number, because the mean of its divisors is an integer number (27302886).

Almost surely, 2^4892912640 is an apocalyptic number.

4892912640 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 4892912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10811942856).

4892912640 is an abundant number, since it is smaller than the sum of its proper divisors (16730973072).

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

4892912640 is a wasteful number, since it uses less digits than its factorization.

4892912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4892912640 is about 69949.3576811110. The cubic root of 4892912640 is about 1697.6799539976.

The spelling of 4892912640 in words is "four billion, eight hundred ninety-two million, nine hundred twelve thousand, six hundred forty".