7489826838720 has 336 divisors, whose sum is σ = 26031766917312. Its totient is φ = 1976420597760.

The previous prime is 7489826838709. The next prime is 7489826838737. The reversal of 7489826838720 is 278386289847.

7489826838720 is a `hidden beast` number, since 7 + 489 + 8 + 2 + 68 + 3 + 87 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205334404 + ... + 205370876.

Almost surely, 2^{7489826838720} 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 7489826838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13015883458656).

7489826838720 is an abundant number, since it is smaller than the sum of its proper divisors (18541940078592).

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

7489826838720 is a wasteful number, since it uses less digits than its factorization.

7489826838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37240 (or 37227 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 7489826838720 in words is "seven trillion, four hundred eighty-nine billion, eight hundred twenty-six million, eight hundred thirty-eight thousand, seven hundred twenty".