7642083421440 has 576 divisors, whose sum is σ = 29220392812800. Its totient is φ = 1880126816256.

The previous prime is 7642083421417. The next prime is 7642083421447. The reversal of 7642083421440 is 441243802467.

7642083421440 is a `hidden beast` number, since 7 + 6 + 420 + 8 + 3 + 4 + 214 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7642083421447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1194632322 + ... + 1194638718.

Almost surely, 2^{7642083421440} 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 7642083421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14610196406400).

7642083421440 is an abundant number, since it is smaller than the sum of its proper divisors (21578309391360).

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

7642083421440 is a wasteful number, since it uses less digits than its factorization.

7642083421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099 (or 9079 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 7642083421440 in words is "seven trillion, six hundred forty-two billion, eighty-three million, four hundred twenty-one thousand, four hundred forty".