7975393744500 has 3072 divisors, whose sum is σ = 35928023040000. Its totient is φ = 1478062080000.

The previous prime is 7975393744433. The next prime is 7975393744531. The reversal of 7975393744500 is 54473935797.

It is a happy number.

7975393744500 is a `hidden beast` number, since 7 + 9 + 7 + 53 + 9 + 3 + 74 + 4 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 40077355401 + ... + 40077355599.

It is an arithmetic number, because the mean of its divisors is an integer number (11695320000).

Almost surely, 2^{7975393744500} is an apocalyptic number.

7975393744500 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 7975393744500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17964011520000).

7975393744500 is an abundant number, since it is smaller than the sum of its proper divisors (27952629295500).

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

7975393744500 is a wasteful number, since it uses less digits than its factorization.

7975393744500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 63.

The spelling of 7975393744500 in words is "seven trillion, nine hundred seventy-five billion, three hundred ninety-three million, seven hundred forty-four thousand, five hundred".