7488663840 has 960 divisors, whose sum is σ = 32703035904. Its totient is φ = 1576599552.

The previous prime is 7488663811. The next prime is 7488663859. The reversal of 7488663840 is 483668847.

It is a super-3 number, since 3×7488663840³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 77202672 + ... + 77202768.

Almost surely, 2^7488663840 is an apocalyptic number.

7488663840 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 7488663840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351517952).

7488663840 is an abundant number, since it is smaller than the sum of its proper divisors (25214372064).

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

7488663840 is a wasteful number, since it uses less digits than its factorization.

7488663840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 7488663840 is about 86537.0662779829. The cubic root of 7488663840 is about 1956.4471107071.

The spelling of 7488663840 in words is "seven billion, four hundred eighty-eight million, six hundred sixty-three thousand, eight hundred forty".