7466601600 has 384 divisors, whose sum is σ = 27661176000. Its totient is φ = 1966694400.

The previous prime is 7466601599. The next prime is 7466601601. The reversal of 7466601600 is 61066647.

It is an interprime number because it is at equal distance from previous prime (7466601599) and next prime (7466601601).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7466601601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7689115 + ... + 7690085.

Almost surely, 2^7466601600 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 7466601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830588000).

7466601600 is an abundant number, since it is smaller than the sum of its proper divisors (20194574400).

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

7466601600 is a wasteful number, since it uses less digits than its factorization.

7466601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7466601600 is about 86409.4994777773. The cubic root of 7466601600 is about 1954.5239343780.

The spelling of 7466601600 in words is "seven billion, four hundred sixty-six million, six hundred one thousand, six hundred".