7505496494496 has 768 divisors, whose sum is σ = 30186665349120. Its totient is φ = 1750876508160.

The previous prime is 7505496494477. The next prime is 7505496494527. The reversal of 7505496494496 is 6944946945057.

It is a happy number.

7505496494496 is a `hidden beast` number, since 7 + 5 + 0 + 5 + 4 + 96 + 49 + 4 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 31882695 + ... + 32117241.

It is an arithmetic number, because the mean of its divisors is an integer number (39305553840).

Almost surely, 2^{7505496494496} 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 7505496494496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15093332674560).

7505496494496 is an abundant number, since it is smaller than the sum of its proper divisors (22681168854624).

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

7505496494496 is a wasteful number, since it uses less digits than its factorization.

7505496494496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234634 (or 234620 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 7505496494496 in words is "seven trillion, five hundred five billion, four hundred ninety-six million, four hundred ninety-four thousand, four hundred ninety-six".