7405875882496 has 480 divisors, whose sum is σ = 19898669260800. Its totient is φ = 2685932421120.

The previous prime is 7405875882469. The next prime is 7405875882523. The reversal of 7405875882496 is 6942885785047.

It is an interprime number because it is at equal distance from previous prime (7405875882469) and next prime (7405875882523).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356744565 + ... + 356765323.

It is an arithmetic number, because the mean of its divisors is an integer number (41455560960).

Almost surely, 2^{7405875882496} is an apocalyptic number.

7405875882496 is a gapful number since it is divisible by the number (76) 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 7405875882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9949334630400).

7405875882496 is an abundant number, since it is smaller than the sum of its proper divisors (12492793378304).

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

7405875882496 is a wasteful number, since it uses less digits than its factorization.

7405875882496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20860 (or 20831 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 73.

The spelling of 7405875882496 in words is "seven trillion, four hundred five billion, eight hundred seventy-five million, eight hundred eighty-two thousand, four hundred ninety-six".