7400606376960 has 1408 divisors, whose sum is σ = 28880661196800. Its totient is φ = 1789667573760.

The previous prime is 7400606376949. The next prime is 7400606377009. The reversal of 7400606376960 is 696736060047.

7400606376960 is a `hidden beast` number, since 7 + 400 + 60 + 63 + 7 + 69 + 60 = 666.

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 = 7400606376897 and 7400606376906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8575441489 + ... + 8575442351.

Almost surely, 2^{7400606376960} 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 7400606376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14440330598400).

7400606376960 is an abundant number, since it is smaller than the sum of its proper divisors (21480054819840).

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

7400606376960 is a wasteful number, since it uses less digits than its factorization.

7400606376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 7400606376960 in words is "seven trillion, four hundred billion, six hundred six million, three hundred seventy-six thousand, nine hundred sixty".