6129577440 has 288 divisors, whose sum is σ = 24155651520. Its totient is φ = 1386381312.

The previous prime is 6129577423. The next prime is 6129577451. The reversal of 6129577440 is 447759216.

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

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 974626 + ... + 980894.

It is an arithmetic number, because the mean of its divisors is an integer number (83873790).

Almost surely, 2^6129577440 is an apocalyptic number.

6129577440 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 6129577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077825760).

6129577440 is an abundant number, since it is smaller than the sum of its proper divisors (18026074080).

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

6129577440 is a wasteful number, since it uses less digits than its factorization.

6129577440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6129577440 is about 78291.6179421527. The cubic root of 6129577440 is about 1830.1085306949.

The spelling of 6129577440 in words is "six billion, one hundred twenty-nine million, five hundred seventy-seven thousand, four hundred forty".