46662026664 has 192 divisors, whose sum is σ = 135143406720. Its totient is φ = 13389376000.

The previous prime is 46662026647. The next prime is 46662026689.

46662026664 is nontrivially palindromic in base 10.

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, 6742534 + ... + 6749450.

It is an arithmetic number, because the mean of its divisors is an integer number (703871910).

Almost surely, 2^46662026664 is an apocalyptic number.

46662026664 is a gapful number since it is divisible by the number (44) 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 46662026664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67571703360).

46662026664 is an abundant number, since it is smaller than the sum of its proper divisors (88481380056).

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

46662026664 is a wasteful number, since it uses less digits than its factorization.

46662026664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7072 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 46662026664 in words is "forty-six billion, six hundred sixty-two million, twenty-six thousand, six hundred sixty-four".