6073958880 has 192 divisors, whose sum is σ = 23191660800. Its totient is φ = 1472463360.

The previous prime is 6073958809. The next prime is 6073958903. The reversal of 6073958880 is 888593706.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16390 + ... + 111429.

It is an arithmetic number, because the mean of its divisors is an integer number (120789900).

Almost surely, 2^6073958880 is an apocalyptic number.

6073958880 is a gapful number since it is divisible by the number (60) 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 6073958880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11595830400).

6073958880 is an abundant number, since it is smaller than the sum of its proper divisors (17117701920).

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

6073958880 is a wasteful number, since it uses less digits than its factorization.

6073958880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127854 (or 127840 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 6073958880 is about 77935.6072665120. The cubic root of 6073958880 is about 1824.5563572907.

The spelling of 6073958880 in words is "six billion, seventy-three million, nine hundred fifty-eight thousand, eight hundred eighty".