7409506894272 has 672 divisors, whose sum is σ = 25732862797824. Its totient is φ = 1992646656000.

The previous prime is 7409506894267. The next prime is 7409506894327. The reversal of 7409506894272 is 2724986059047.

7409506894272 is a `hidden beast` number, since 7 + 4 + 0 + 9 + 506 + 89 + 42 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6169447272 + ... + 6169448472.

It is an arithmetic number, because the mean of its divisors is an integer number (38292950592).

Almost surely, 2^{7409506894272} is an apocalyptic number.

7409506894272 is a gapful number since it is divisible by the number (72) 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 7409506894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12866431398912).

7409506894272 is an abundant number, since it is smaller than the sum of its proper divisors (18323355903552).

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

7409506894272 is a wasteful number, since it uses less digits than its factorization.

7409506894272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 7409506894272 in words is "seven trillion, four hundred nine billion, five hundred six million, eight hundred ninety-four thousand, two hundred seventy-two".