4378469760 has 576 divisors, whose sum is σ = 18012702240. Its totient is φ = 959938560.

The previous prime is 4378469749. The next prime is 4378469779. The reversal of 4378469760 is 679648734.

It is a happy number.

4378469760 is a `hidden beast` number, since 43 + 78 + 469 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 4378469697 and 4378469706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38747464 + ... + 38747576.

Almost surely, 2^4378469760 is an apocalyptic number.

4378469760 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 4378469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006351120).

4378469760 is an abundant number, since it is smaller than the sum of its proper divisors (13634232480).

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

4378469760 is a wasteful number, since it uses less digits than its factorization.

4378469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 4378469760 is about 66170.0064984129. The cubic root of 4378469760 is about 1635.9654147474.

The spelling of 4378469760 in words is "four billion, three hundred seventy-eight million, four hundred sixty-nine thousand, seven hundred sixty".