384955085758320 has 1920 divisors, whose sum is σ = 1741260837888000. Its totient is φ = 73811464151040.

The previous prime is 384955085758303. The next prime is 384955085758337. The reversal of 384955085758320 is 23857580559483.

384955085758320 is a `hidden beast` number, since 3 + 8 + 4 + 95 + 508 + 5 + 7 + 5 + 8 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (384955085758303) and next prime (384955085758337).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 6774129747 + ... + 6774186573.

It is an arithmetic number, because the mean of its divisors is an integer number (906906686400).

Almost surely, 2^{384955085758320} is an apocalyptic number.

384955085758320 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 384955085758320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870630418944000).

384955085758320 is an abundant number, since it is smaller than the sum of its proper divisors (1356305752129680).

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

384955085758320 is a wasteful number, since it uses less digits than its factorization.

384955085758320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57051 (or 57042 counting only the distinct ones).

The product of its (nonzero) digits is 1451520000, while the sum is 72.

The spelling of 384955085758320 in words is "three hundred eighty-four trillion, nine hundred fifty-five billion, eighty-five million, seven hundred fifty-eight thousand, three hundred twenty".