4374763680 has 768 divisors, whose sum is σ = 18289152000. Its totient is φ = 854654976.

The previous prime is 4374763649. The next prime is 4374763693. The reversal of 4374763680 is 863674734.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31473051 + ... + 31473189.

It is an arithmetic number, because the mean of its divisors is an integer number (23814000).

Almost surely, 2^4374763680 is an apocalyptic number.

4374763680 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 4374763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144576000).

4374763680 is an abundant number, since it is smaller than the sum of its proper divisors (13914388320).

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

4374763680 is a wasteful number, since it uses less digits than its factorization.

4374763680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The square root of 4374763680 is about 66141.9963412052. The cubic root of 4374763680 is about 1635.5037062444.

The spelling of 4374763680 in words is "four billion, three hundred seventy-four million, seven hundred sixty-three thousand, six hundred eighty".