7449926964480 has 1728 divisors, whose sum is σ = 34887660208128. Its totient is φ = 1417426698240.

The previous prime is 7449926964449. The next prime is 7449926964559. The reversal of 7449926964480 is 844696299447.

It is a happy number.

7449926964480 is a `hidden beast` number, since 7 + 4 + 4 + 9 + 92 + 6 + 96 + 448 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7449926964399 and 7449926964408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1464500497 + ... + 1464505583.

It is an arithmetic number, because the mean of its divisors is an integer number (20189618176).

Almost surely, 2^{7449926964480} is an apocalyptic number.

7449926964480 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 7449926964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17443830104064).

7449926964480 is an abundant number, since it is smaller than the sum of its proper divisors (27437733243648).

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

7449926964480 is a wasteful number, since it uses less digits than its factorization.

7449926964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 7449926964480 in words is "seven trillion, four hundred forty-nine billion, nine hundred twenty-six million, nine hundred sixty-four thousand, four hundred eighty".