6072973920 has 384 divisors, whose sum is σ = 24240746880. Its totient is φ = 1406730240.

The previous prime is 6072973919. The next prime is 6072973961. The reversal of 6072973920 is 293792706.

It is a happy number.

6072973920 is a `hidden beast` number, since 607 + 2 + 9 + 7 + 39 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 951540 + ... + 957900.

It is an arithmetic number, because the mean of its divisors is an integer number (63126945).

Almost surely, 2^6072973920 is an apocalyptic number.

6072973920 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 6072973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120373440).

6072973920 is an abundant number, since it is smaller than the sum of its proper divisors (18167772960).

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

6072973920 is a wasteful number, since it uses less digits than its factorization.

6072973920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 6072973920 is about 77929.2879474720. The cubic root of 6072973920 is about 1824.4577279226.

The spelling of 6072973920 in words is "six billion, seventy-two million, nine hundred seventy-three thousand, nine hundred twenty".