6041952000 has 1008 divisors, whose sum is σ = 26487394752. Its totient is φ = 1343692800.

The previous prime is 6041951969. The next prime is 6041952013. The reversal of 6041952000 is 2591406.

6041952000 is a `hidden beast` number, since 604 + 1 + 9 + 52 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 163295982 + ... + 163296018.

Almost surely, 2^6041952000 is an apocalyptic number.

6041952000 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 6041952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13243697376).

6041952000 is an abundant number, since it is smaller than the sum of its proper divisors (20445442752).

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

6041952000 is an frugal number, since it uses more digits than its factorization.

6041952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

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

The square root of 6041952000 is about 77729.9942107292. The cubic root of 6041952000 is about 1821.3458627792.

The spelling of 6041952000 in words is "six billion, forty-one million, nine hundred fifty-two thousand".