7732026408960 has 1764 divisors, whose sum is σ = 33777653529648. Its totient is φ = 1663360303104.

The previous prime is 7732026408937. The next prime is 7732026409001. The reversal of 7732026408960 is 698046202377.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7732026408897 and 7732026408906.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 454825082872 + ... + 454825082888.

Almost surely, 2^{7732026408960} is an apocalyptic number.

7732026408960 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 7732026408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16888826764824).

7732026408960 is an abundant number, since it is smaller than the sum of its proper divisors (26045627120688).

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

7732026408960 is an frugal number, since it uses more digits than its factorization.

7732026408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 7732026408960 in words is "seven trillion, seven hundred thirty-two billion, twenty-six million, four hundred eight thousand, nine hundred sixty".