7468376160 has 288 divisors, whose sum is σ = 28251804672. Its totient is φ = 1651829760.

The previous prime is 7468376159. The next prime is 7468376213. The reversal of 7468376160 is 616738647.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 723999 + ... + 734241.

It is an arithmetic number, because the mean of its divisors is an integer number (98096544).

Almost surely, 2^7468376160 is an apocalyptic number.

7468376160 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 7468376160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14125902336).

7468376160 is an abundant number, since it is smaller than the sum of its proper divisors (20783428512).

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

7468376160 is a wasteful number, since it uses less digits than its factorization.

7468376160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306 (or 10291 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 7468376160 is about 86419.7671832087. The cubic root of 7468376160 is about 1954.6787636403.

The spelling of 7468376160 in words is "seven billion, four hundred sixty-eight million, three hundred seventy-six thousand, one hundred sixty".