7468896960 has 1344 divisors, whose sum is σ = 34691604480. Its totient is φ = 1433272320.

The previous prime is 7468896949. The next prime is 7468897021. The reversal of 7468896960 is 696988647.

7468896960 is a `hidden beast` number, since 7 + 468 + 89 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201862062 + ... + 201862098.

Almost surely, 2^7468896960 is an apocalyptic number.

7468896960 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 7468896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17345802240).

7468896960 is an abundant number, since it is smaller than the sum of its proper divisors (27222707520).

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

7468896960 is a wasteful number, since it uses less digits than its factorization.

7468896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The square root of 7468896960 is about 86422.7803301884. The cubic root of 7468896960 is about 1954.7241984629.

The spelling of 7468896960 in words is "seven billion, four hundred sixty-eight million, eight hundred ninety-six thousand, nine hundred sixty".