7953322399440 has 640 divisors, whose sum is σ = 28979173785600. Its totient is φ = 1783750993920.

The previous prime is 7953322399409. The next prime is 7953322399447. The reversal of 7953322399440 is 449932233597.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7953322399447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1129248559 + ... + 1129255601.

It is an arithmetic number, because the mean of its divisors is an integer number (45279959040).

Almost surely, 2^{7953322399440} 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 7953322399440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14489586892800).

7953322399440 is an abundant number, since it is smaller than the sum of its proper divisors (21025851386160).

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

7953322399440 is a wasteful number, since it uses less digits than its factorization.

7953322399440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7609 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 60.

The spelling of 7953322399440 in words is "seven trillion, nine hundred fifty-three billion, three hundred twenty-two million, three hundred ninety-nine thousand, four hundred forty".