6012950400 has 288 divisors, whose sum is σ = 21560919120. Its totient is φ = 1595596800.

The previous prime is 6012950381. The next prime is 6012950429. The reversal of 6012950400 is 40592106.

6012950400 is a `hidden beast` number, since 601 + 2 + 9 + 50 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8092429 + ... + 8093171.

Almost surely, 2^6012950400 is an apocalyptic number.

6012950400 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 6012950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10780459560).

6012950400 is an abundant number, since it is smaller than the sum of its proper divisors (15547968720).

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

6012950400 is a wasteful number, since it uses less digits than its factorization.

6012950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6012950400 is about 77543.2163377300. The cubic root of 6012950400 is about 1818.4270110540.

The spelling of 6012950400 in words is "six billion, twelve million, nine hundred fifty thousand, four hundred".