7427108277072 has 1280 divisors, whose sum is σ = 25342377984000. Its totient is φ = 2061187430400.

The previous prime is 7427108277023. The next prime is 7427108277089. The reversal of 7427108277072 is 2707728017247.

It is a happy number.

7427108277072 is a `hidden beast` number, since 7 + 427 + 1 + 0 + 82 + 7 + 70 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53432433579 + ... + 53432433717.

It is an arithmetic number, because the mean of its divisors is an integer number (19798732800).

Almost surely, 2^{7427108277072} is an apocalyptic number.

7427108277072 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 7427108277072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671188992000).

7427108277072 is an abundant number, since it is smaller than the sum of its proper divisors (17915269706928).

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

7427108277072 is a wasteful number, since it uses less digits than its factorization.

7427108277072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4302592, while the sum is 54.

The spelling of 7427108277072 in words is "seven trillion, four hundred twenty-seven billion, one hundred eight million, two hundred seventy-seven thousand, seventy-two".