5346661662000 has 320 divisors, whose sum is σ = 19620082984320. Its totient is φ = 1391000832000.

The previous prime is 5346661661951. The next prime is 5346661662103. The reversal of 5346661662000 is 2661666435.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1006534 + ... + 3421466.

It is an arithmetic number, because the mean of its divisors is an integer number (61312759326).

Almost surely, 2^{5346661662000} is an apocalyptic number.

5346661662000 is a gapful number since it is divisible by the number (50) 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 5346661662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9810041492160).

5346661662000 is an abundant number, since it is smaller than the sum of its proper divisors (14273421322320).

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

5346661662000 is a wasteful number, since it uses less digits than its factorization.

5346661662000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415006 (or 2414984 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 5346661662000 in words is "five trillion, three hundred forty-six billion, six hundred sixty-one million, six hundred sixty-two thousand".