6007101380280 has 1152 divisors, whose sum is σ = 27541924300800. Its totient is φ = 1115028633600.

The previous prime is 6007101380261. The next prime is 6007101380299. The reversal of 6007101380280 is 820831017006.

6007101380280 is a `hidden beast` number, since 600 + 7 + 10 + 1 + 38 + 0 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6007101380261) and next prime (6007101380299).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78159711 + ... + 78236529.

It is an arithmetic number, because the mean of its divisors is an integer number (23907920400).

Almost surely, 2^{6007101380280} is an apocalyptic number.

6007101380280 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 6007101380280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770962150400).

6007101380280 is an abundant number, since it is smaller than the sum of its proper divisors (21534822920520).

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

6007101380280 is a wasteful number, since it uses less digits than its factorization.

6007101380280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76905 (or 76891 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 6007101380280 its reverse (820831017006), we get a palindrome (6827932397286).

The spelling of 6007101380280 in words is "six trillion, seven billion, one hundred one million, three hundred eighty thousand, two hundred eighty".