6106752000 has 880 divisors, whose sum is σ = 24729070080. Its totient is φ = 1492992000.

The previous prime is 6106751983. The next prime is 6106752013. The reversal of 6106752000 is 2576016.

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 79 ways as a sum of consecutive naturals, for example, 196991985 + ... + 196992015.

It is an arithmetic number, because the mean of its divisors is an integer number (28101216).

Almost surely, 2^6106752000 is an apocalyptic number.

6106752000 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 6106752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364535040).

6106752000 is an abundant number, since it is smaller than the sum of its proper divisors (18622318080).

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

6106752000 is a wasteful number, since it uses less digits than its factorization.

6106752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 6106752000 is about 78145.7100549992. The cubic root of 6106752000 is about 1827.8340404791.

The spelling of 6106752000 in words is "six billion, one hundred six million, seven hundred fifty-two thousand".