7605861120000 has 3840 divisors, whose sum is σ = 35246667456000. Its totient is φ = 1612431360000.

The previous prime is 7605861119993. The next prime is 7605861120007. The reversal of 7605861120000 is 211685067.

7605861120000 is a `hidden beast` number, since 7 + 60 + 586 + 1 + 12 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7605861119993) and next prime (7605861120007).

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7605861120007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 400308479991 + ... + 400308480009.

It is an arithmetic number, because the mean of its divisors is an integer number (9178819650).

Almost surely, 2^{7605861120000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7605861120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17623333728000).

7605861120000 is an abundant number, since it is smaller than the sum of its proper divisors (27640806336000).

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

7605861120000 is an equidigital number, since it uses as much as digits as its factorization.

7605861120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 7605861120000 in words is "seven trillion, six hundred five billion, eight hundred sixty-one million, one hundred twenty thousand".