7466400136 has 64 divisors (see below), whose sum is σ = 16201745280. Its totient is φ = 3194864640.

The previous prime is 7466400133. The next prime is 7466400157. The reversal of 7466400136 is 6310046647.

It is a junction number, because it is equal to n+sod(n) for n = 7466400095 and 7466400104.

It is not an unprimeable number, because it can be changed into a prime (7466400133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86941 + ... + 149971.

It is an arithmetic number, because the mean of its divisors is an integer number (253152270).

Almost surely, 2^7466400136 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 7466400136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8100872640).

7466400136 is an abundant number, since it is smaller than the sum of its proper divisors (8735345144).

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

7466400136 is a wasteful number, since it uses less digits than its factorization.

7466400136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63134 (or 63130 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 7466400136 is about 86408.3337184557. Note that the first 3 decimals coincide. The cubic root of 7466400136 is about 1954.5063552180.

The spelling of 7466400136 in words is "seven billion, four hundred sixty-six million, four hundred thousand, one hundred thirty-six".