6136122084480 has 768 divisors, whose sum is σ = 23142871065600. Its totient is φ = 1492394803200.

The previous prime is 6136122084451. The next prime is 6136122084509. The reversal of 6136122084480 is 844802216316.

6136122084480 is a `hidden beast` number, since 6 + 1 + 3 + 612 + 20 + 8 + 4 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6136122084451) and next prime (6136122084509).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 668345490 + ... + 668354670.

It is an arithmetic number, because the mean of its divisors is an integer number (30133946700).

Almost surely, 2^{6136122084480} is an apocalyptic number.

6136122084480 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 6136122084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11571435532800).

6136122084480 is an abundant number, since it is smaller than the sum of its proper divisors (17006748981120).

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

6136122084480 is a wasteful number, since it uses less digits than its factorization.

6136122084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9453 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 6136122084480 in words is "six trillion, one hundred thirty-six billion, one hundred twenty-two million, eighty-four thousand, four hundred eighty".