7468583616 has 672 divisors, whose sum is σ = 26420966208. Its totient is φ = 2070282240.

The previous prime is 7468583569. The next prime is 7468583623. The reversal of 7468583616 is 6163858647.

7468583616 is a `hidden beast` number, since 7 + 46 + 8 + 583 + 6 + 16 = 666.

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 95 ways as a sum of consecutive naturals, for example, 140916646 + ... + 140916698.

It is an arithmetic number, because the mean of its divisors is an integer number (39316914).

Almost surely, 2^7468583616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7468583616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13210483104).

7468583616 is an abundant number, since it is smaller than the sum of its proper divisors (18952382592).

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

7468583616 is a wasteful number, since it uses less digits than its factorization.

7468583616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 7468583616 is about 86420.9674558206. The cubic root of 7468583616 is about 1954.6968624467.

The spelling of 7468583616 in words is "seven billion, four hundred sixty-eight million, five hundred eighty-three thousand, six hundred sixteen".