7721849361408 has 1408 divisors, whose sum is σ = 27687402602496. Its totient is φ = 1855822233600.

The previous prime is 7721849361397. The next prime is 7721849361409. The reversal of 7721849361408 is 8041639481277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7721849361409) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40428530593 + ... + 40428530783.

Almost surely, 2^{7721849361408} is an apocalyptic number.

7721849361408 is a gapful number since it is divisible by the number (78) 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 7721849361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13843701301248).

7721849361408 is an abundant number, since it is smaller than the sum of its proper divisors (19965553241088).

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

7721849361408 is a wasteful number, since it uses less digits than its factorization.

7721849361408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 7721849361408 in words is "seven trillion, seven hundred twenty-one billion, eight hundred forty-nine million, three hundred sixty-one thousand, four hundred eight".