6121276615740 has 288 divisors, whose sum is σ = 21356373749760. Its totient is φ = 1297701250560.

The previous prime is 6121276615733. The next prime is 6121276615747. The reversal of 6121276615740 is 475166721216.

It is an interprime number because it is at equal distance from previous prime (6121276615733) and next prime (6121276615747).

It is a self number, because there is not a number n which added to its sum of digits gives 6121276615740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6121276615747) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86437 + ... + 3500003.

It is an arithmetic number, because the mean of its divisors is an integer number (74154075520).

Almost surely, 2^{6121276615740} is an apocalyptic number.

6121276615740 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 6121276615740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10678186874880).

6121276615740 is an abundant number, since it is smaller than the sum of its proper divisors (15235097134020).

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

6121276615740 is a wasteful number, since it uses less digits than its factorization.

6121276615740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413633 (or 3413620 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 6121276615740 in words is "six trillion, one hundred twenty-one billion, two hundred seventy-six million, six hundred fifteen thousand, seven hundred forty".