7488624648960 has 720 divisors, whose sum is σ = 32979325786176. Its totient is φ = 1580015517696.

The previous prime is 7488624648919. The next prime is 7488624648997. The reversal of 7488624648960 is 698464268847.

7488624648960 is a `hidden beast` number, since 7 + 4 + 8 + 86 + 2 + 4 + 6 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×7488624648960² (a number of 27 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 9038022 + ... + 9831738.

Almost surely, 2^{7488624648960} is an apocalyptic number.

7488624648960 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 7488624648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16489662893088).

7488624648960 is an abundant number, since it is smaller than the sum of its proper divisors (25490701137216).

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

7488624648960 is a wasteful number, since it uses less digits than its factorization.

7488624648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793770 (or 793747 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 7488624648960 in words is "seven trillion, four hundred eighty-eight billion, six hundred twenty-four million, six hundred forty-eight thousand, nine hundred sixty".