6137072640 has 132 divisors (see below), whose sum is σ = 21264956544. Its totient is φ = 1636540416.

The previous prime is 6137072629. The next prime is 6137072657. The reversal of 6137072640 is 462707316.

6137072640 is a `hidden beast` number, since 6 + 1 + 3 + 7 + 0 + 7 + 2 + 640 = 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 = 6137072595 and 6137072604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20512 + ... + 112671.

Almost surely, 2^6137072640 is an apocalyptic number.

6137072640 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 6137072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10632478272).

6137072640 is an abundant number, since it is smaller than the sum of its proper divisors (15127883904).

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

6137072640 is a wasteful number, since it uses less digits than its factorization.

6137072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133214 (or 133193 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 6137072640 is about 78339.4705113584. The cubic root of 6137072640 is about 1830.8541743853.

Adding to 6137072640 its reverse (462707316), we get a palindrome (6599779956).

The spelling of 6137072640 in words is "six billion, one hundred thirty-seven million, seventy-two thousand, six hundred forty".