7116526477440 has 1024 divisors, whose sum is σ = 26619450163200. Its totient is φ = 1794330869760.

The previous prime is 7116526477399. The next prime is 7116526477453. The reversal of 7116526477440 is 447746256117.

7116526477440 is a `hidden beast` number, since 7 + 1 + 1 + 6 + 526 + 4 + 7 + 74 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10419511339 + ... + 10419512021.

It is an arithmetic number, because the mean of its divisors is an integer number (25995556800).

Almost surely, 2^{7116526477440} 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 7116526477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309725081600).

7116526477440 is an abundant number, since it is smaller than the sum of its proper divisors (19502923685760).

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

7116526477440 is a wasteful number, since it uses less digits than its factorization.

7116526477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 7116526477440 in words is "seven trillion, one hundred sixteen billion, five hundred twenty-six million, four hundred seventy-seven thousand, four hundred forty".