4837472640 has 768 divisors, whose sum is σ = 22455014400. Its totient is φ = 926760960.

The previous prime is 4837472639. The next prime is 4837472641. The reversal of 4837472640 is 462747384.

It is an interprime number because it is at equal distance from previous prime (4837472639) and next prime (4837472641).

It is a super-2 number, since 2×4837472640² = 46802283085497139200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4837472641) 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 95 ways as a sum of consecutive naturals, for example, 5765341 + ... + 5766179.

It is an arithmetic number, because the mean of its divisors is an integer number (29238300).

Almost surely, 2^4837472640 is an apocalyptic number.

4837472640 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 4837472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11227507200).

4837472640 is an abundant number, since it is smaller than the sum of its proper divisors (17617541760).

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

4837472640 is a wasteful number, since it uses less digits than its factorization.

4837472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 4837472640 is about 69551.9420289613. The cubic root of 4837472640 is about 1691.2436302105.

The spelling of 4837472640 in words is "four billion, eight hundred thirty-seven million, four hundred seventy-two thousand, six hundred forty".