7506461160000 has 700 divisors, whose sum is σ = 30333392144880. Its totient is φ = 1819739520000.

The previous prime is 7506461159933. The next prime is 7506461160031. The reversal of 7506461160000 is 611646057.

7506461160000 is a `hidden beast` number, since 7 + 5 + 0 + 6 + 46 + 1 + 1 + 600 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 35534691 + ... + 35745309.

Almost surely, 2^{7506461160000} 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 7506461160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15166696072440).

7506461160000 is an abundant number, since it is smaller than the sum of its proper divisors (22826930984880).

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

7506461160000 is a wasteful number, since it uses less digits than its factorization.

7506461160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210674 (or 210640 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 7506461160000 in words is "seven trillion, five hundred six billion, four hundred sixty-one million, one hundred sixty thousand".