6134387040 has 384 divisors, whose sum is σ = 22652421120. Its totient is φ = 1547403264.

The previous prime is 6134387029. The next prime is 6134387071. The reversal of 6134387040 is 407834316.

6134387040 is a `hidden beast` number, since 613 + 4 + 38 + 7 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6134386986 and 6134387004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10631232 + ... + 10631808.

It is an arithmetic number, because the mean of its divisors is an integer number (58990680).

Almost surely, 2^6134387040 is an apocalyptic number.

6134387040 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 6134387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11326210560).

6134387040 is an abundant number, since it is smaller than the sum of its proper divisors (16518034080).

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

6134387040 is a wasteful number, since it uses less digits than its factorization.

6134387040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6134387040 is about 78322.3278510030. The cubic root of 6134387040 is about 1830.5870731327.

The spelling of 6134387040 in words is "six billion, one hundred thirty-four million, three hundred eighty-seven thousand, forty".