7995342718440 has 1536 divisors, whose sum is σ = 34289049600000. Its totient is φ = 1600029849600.

The previous prime is 7995342718439. The next prime is 7995342718453. The reversal of 7995342718440 is 448172435997.

7995342718440 is a `hidden beast` number, since 7 + 9 + 95 + 3 + 427 + 1 + 84 + 40 = 666.

It is a super-3 number, since 3×7995342718440³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13347817261 + ... + 13347817859.

It is an arithmetic number, because the mean of its divisors is an integer number (22323600000).

Almost surely, 2^{7995342718440} is an apocalyptic number.

7995342718440 is a gapful number since it is divisible by the number (70) 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 7995342718440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17144524800000).

7995342718440 is an abundant number, since it is smaller than the sum of its proper divisors (26293706881560).

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

7995342718440 is a wasteful number, since it uses less digits than its factorization.

7995342718440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 975 counting only the distinct ones).

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

The spelling of 7995342718440 in words is "seven trillion, nine hundred ninety-five billion, three hundred forty-two million, seven hundred eighteen thousand, four hundred forty".