7133410074672 has 320 divisors, whose sum is σ = 23741200465920. Its totient is φ = 2008479110400.

The previous prime is 7133410074667. The next prime is 7133410074683. The reversal of 7133410074672 is 2764700143317.

It is a happy number.

7133410074672 is a `hidden beast` number, since 71 + 33 + 410 + 0 + 74 + 6 + 72 = 666.

It is a super-3 number, since 3×7133410074672³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 556291653 + ... + 556304475.

It is an arithmetic number, because the mean of its divisors is an integer number (74191251456).

Almost surely, 2^{7133410074672} is an apocalyptic number.

7133410074672 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 7133410074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11870600232960).

7133410074672 is an abundant number, since it is smaller than the sum of its proper divisors (16607790391248).

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

7133410074672 is a wasteful number, since it uses less digits than its factorization.

7133410074672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15509 (or 15497 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 7133410074672 in words is "seven trillion, one hundred thirty-three billion, four hundred ten million, seventy-four thousand, six hundred seventy-two".