7427893378752 has 672 divisors, whose sum is σ = 27568870318080. Its totient is φ = 1926416286720.

The previous prime is 7427893378681. The next prime is 7427893378757. The reversal of 7427893378752 is 2578733987247.

7427893378752 is a `hidden beast` number, since 7 + 427 + 8 + 93 + 37 + 87 + 5 + 2 = 666.

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

It is a super-2 number, since 2×7427893378752² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7427893378757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 861001063 + ... + 861009689.

It is an arithmetic number, because the mean of its divisors is an integer number (41025104640).

Almost surely, 2^{7427893378752} is an apocalyptic number.

7427893378752 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 7427893378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784435159040).

7427893378752 is an abundant number, since it is smaller than the sum of its proper divisors (20140976939328).

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

7427893378752 is a wasteful number, since it uses less digits than its factorization.

7427893378752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9391 (or 9369 counting only the distinct ones).

The product of its digits is 995742720, while the sum is 72.

The spelling of 7427893378752 in words is "seven trillion, four hundred twenty-seven billion, eight hundred ninety-three million, three hundred seventy-eight thousand, seven hundred fifty-two".