7662842449920 has 1872 divisors, whose sum is σ = 32334985562880. Its totient is φ = 1643867799552.

The previous prime is 7662842449919. The next prime is 7662842449949. The reversal of 7662842449920 is 299442482667.

7662842449920 is a `hidden beast` number, since 7 + 6 + 6 + 284 + 244 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70301306826 + ... + 70301306934.

Almost surely, 2^{7662842449920} is an apocalyptic number.

7662842449920 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 7662842449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16167492781440).

7662842449920 is an abundant number, since it is smaller than the sum of its proper divisors (24672143112960).

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

7662842449920 is a wasteful number, since it uses less digits than its factorization.

7662842449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 7662842449920 in words is "seven trillion, six hundred sixty-two billion, eight hundred forty-two million, four hundred forty-nine thousand, nine hundred twenty".