4792427640 has 1152 divisors, whose sum is σ = 22430822400. Its totient is φ = 889574400.

The previous prime is 4792427623. The next prime is 4792427663. The reversal of 4792427640 is 467242974.

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 287 ways as a sum of consecutive naturals, for example, 154594425 + ... + 154594455.

It is an arithmetic number, because the mean of its divisors is an integer number (19471200).

Almost surely, 2^4792427640 is an apocalyptic number.

4792427640 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 4792427640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11215411200).

4792427640 is an abundant number, since it is smaller than the sum of its proper divisors (17638394760).

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

4792427640 is a wasteful number, since it uses less digits than its factorization.

4792427640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4792427640 is about 69227.3619315369. The cubic root of 4792427640 is about 1685.9778115391.

The spelling of 4792427640 in words is "four billion, seven hundred ninety-two million, four hundred twenty-seven thousand, six hundred forty".