7649032849920 has 1920 divisors, whose sum is σ = 34573702141440. Its totient is φ = 1588424048640.

The previous prime is 7649032849891. The next prime is 7649032849933. The reversal of 7649032849920 is 299482309467.

7649032849920 is a `hidden beast` number, since 7 + 6 + 4 + 90 + 32 + 8 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 4742115034 + ... + 4742116646.

It is an arithmetic number, because the mean of its divisors is an integer number (18007136532).

Almost surely, 2^{7649032849920} is an apocalyptic number.

7649032849920 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 7649032849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17286851070720).

7649032849920 is an abundant number, since it is smaller than the sum of its proper divisors (26924669291520).

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

7649032849920 is an equidigital number, since it uses as much as digits as its factorization.

7649032849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 7649032849920 in words is "seven trillion, six hundred forty-nine billion, thirty-two million, eight hundred forty-nine thousand, nine hundred twenty".