4904945760 has 384 divisors, whose sum is σ = 19112163840. Its totient is φ = 1039564800.

The previous prime is 4904945693. The next prime is 4904945783. The reversal of 4904945760 is 675494094.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1302280 + ... + 1306040.

It is an arithmetic number, because the mean of its divisors is an integer number (49771260).

Almost surely, 2^4904945760 is an apocalyptic number.

4904945760 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 4904945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9556081920).

4904945760 is an abundant number, since it is smaller than the sum of its proper divisors (14207218080).

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

4904945760 is a wasteful number, since it uses less digits than its factorization.

4904945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 4904945760 is about 70035.3179474471. The cubic root of 4904945760 is about 1699.0705138046.

The spelling of 4904945760 in words is "four billion, nine hundred four million, nine hundred forty-five thousand, seven hundred sixty".