3662499456000 has 1408 divisors, whose sum is σ = 16877896888320. Its totient is φ = 760983552000.

The previous prime is 3662499455987. The next prime is 3662499456017. The reversal of 3662499456000 is 6549942663.

3662499456000 is a `hidden beast` number, since 3 + 6 + 6 + 24 + 9 + 9 + 4 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 127 ways as a sum of consecutive naturals, for example, 266105119 + ... + 266118881.

Almost surely, 2^{3662499456000} is an apocalyptic number.

3662499456000 is a gapful number since it is divisible by the number (30) 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 3662499456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8438948444160).

3662499456000 is an abundant number, since it is smaller than the sum of its proper divisors (13215397432320).

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

3662499456000 is a wasteful number, since it uses less digits than its factorization.

3662499456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13825 (or 13791 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3662499456000 in words is "three trillion, six hundred sixty-two billion, four hundred ninety-nine million, four hundred fifty-six thousand".