6145742736 has 240 divisors, whose sum is σ = 20891520000. Its totient is φ = 1647412992.

The previous prime is 6145742723. The next prime is 6145742737. The reversal of 6145742736 is 6372475416.

6145742736 is a `hidden beast` number, since 6 + 1 + 4 + 574 + 2 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6145742691 and 6145742700.

It is not an unprimeable number, because it can be changed into a prime (6145742737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2047765 + ... + 2050763.

It is an arithmetic number, because the mean of its divisors is an integer number (87048000).

Almost surely, 2^6145742736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6145742736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445760000).

6145742736 is an abundant number, since it is smaller than the sum of its proper divisors (14745777264).

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

6145742736 is a wasteful number, since it uses less digits than its factorization.

6145742736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3137 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 6145742736 is about 78394.7876838760. The cubic root of 6145742736 is about 1831.7159431313.

The spelling of 6145742736 in words is "six billion, one hundred forty-five million, seven hundred forty-two thousand, seven hundred thirty-six".