2607791369040 has 640 divisors, whose sum is σ = 10615395571200. Its totient is φ = 583550023680.

The previous prime is 2607791369039. The next prime is 2607791369063. The reversal of 2607791369040 is 409631977062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52175742 + ... + 52225698.

It is an arithmetic number, because the mean of its divisors is an integer number (16586555580).

Almost surely, 2^{2607791369040} is an apocalyptic number.

2607791369040 is a gapful number since it is divisible by the number (20) 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 2607791369040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307697785600).

2607791369040 is an abundant number, since it is smaller than the sum of its proper divisors (8007604202160).

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

2607791369040 is a wasteful number, since it uses less digits than its factorization.

2607791369040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50029 (or 49991 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 2607791369040 in words is "two trillion, six hundred seven billion, seven hundred ninety-one million, three hundred sixty-nine thousand, forty".