7566403440960 has 2240 divisors, whose sum is σ = 34146923661312. Its totient is φ = 1554222587904.

The previous prime is 7566403440877. The next prime is 7566403441033. The reversal of 7566403440960 is 690443046657.

It is a happy number.

7566403440960 is a `hidden beast` number, since 7 + 56 + 64 + 0 + 3 + 440 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×7566403440960² (a number of 27 digits) contains 22 as substring.

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 = 7566403440897 and 7566403440906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 24646265127 + ... + 24646265433.

Almost surely, 2^{7566403440960} is an apocalyptic number.

7566403440960 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 7566403440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17073461830656).

7566403440960 is an abundant number, since it is smaller than the sum of its proper divisors (26580520220352).

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

7566403440960 is an equidigital number, since it uses as much as digits as its factorization.

7566403440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 7566403440960 in words is "seven trillion, five hundred sixty-six billion, four hundred three million, four hundred forty thousand, nine hundred sixty".