7489605876480 has 2592 divisors, whose sum is σ = 34084551481344. Its totient is φ = 1560618565632.

The previous prime is 7489605876451. The next prime is 7489605876491. The reversal of 7489605876480 is 846785069847.

7489605876480 is a `hidden beast` number, since 7 + 4 + 8 + 9 + 60 + 5 + 87 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 = 7489605876399 and 7489605876408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20407645257 + ... + 20407645623.

Almost surely, 2^{7489605876480} is an apocalyptic number.

7489605876480 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 7489605876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17042275740672).

7489605876480 is an abundant number, since it is smaller than the sum of its proper divisors (26594945604864).

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

7489605876480 is a wasteful number, since it uses less digits than its factorization.

7489605876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 7489605876480 in words is "seven trillion, four hundred eighty-nine billion, six hundred five million, eight hundred seventy-six thousand, four hundred eighty".