4738088234880 has 5120 divisors, whose sum is σ = 24829718538240. Its totient is φ = 828112896000.

The previous prime is 4738088234861. The next prime is 4738088234933. The reversal of 4738088234880 is 884328808374.

4738088234880 is a `hidden beast` number, since 4 + 73 + 8 + 0 + 8 + 82 + 3 + 488 + 0 = 666.

It is a super-2 number, since 2×4738088234880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 36168612415 + ... + 36168612545.

It is an arithmetic number, because the mean of its divisors is an integer number (4849554402).

Almost surely, 2^{4738088234880} is an apocalyptic number.

4738088234880 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 4738088234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12414859269120).

4738088234880 is an abundant number, since it is smaller than the sum of its proper divisors (20091630303360).

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

4738088234880 is a wasteful number, since it uses less digits than its factorization.

4738088234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 4738088234880 in words is "four trillion, seven hundred thirty-eight billion, eighty-eight million, two hundred thirty-four thousand, eight hundred eighty".