384793652880 has 1920 divisors, whose sum is σ = 1767886848000. Its totient is φ = 73171537920.

The previous prime is 384793652863. The next prime is 384793652933. The reversal of 384793652880 is 88256397483.

384793652880 is a `hidden beast` number, since 3 + 8 + 4 + 79 + 36 + 528 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6521926291 + ... + 6521926349.

It is an arithmetic number, because the mean of its divisors is an integer number (920774400).

Almost surely, 2^384793652880 is an apocalyptic number.

384793652880 is a gapful number since it is divisible by the number (30) 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 384793652880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883943424000).

384793652880 is an abundant number, since it is smaller than the sum of its proper divisors (1383093195120).

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

384793652880 is a wasteful number, since it uses less digits than its factorization.

384793652880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 384793652880 in words is "three hundred eighty-four billion, seven hundred ninety-three million, six hundred fifty-two thousand, eight hundred eighty".