662464742400 has 1056 divisors, whose sum is σ = 2573206732800. Its totient is φ = 166750617600.

The previous prime is 662464742399. The next prime is 662464742479. The reversal of 662464742400 is 4247464266.

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 95 ways as a sum of consecutive naturals, for example, 921369241 + ... + 921369959.

It is an arithmetic number, because the mean of its divisors is an integer number (2436748800).

Almost surely, 2^662464742400 is an apocalyptic number.

662464742400 is a gapful number since it is divisible by the number (60) 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 662464742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286603366400).

662464742400 is an abundant number, since it is smaller than the sum of its proper divisors (1910741990400).

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

662464742400 is a wasteful number, since it uses less digits than its factorization.

662464742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 662464742400 in words is "six hundred sixty-two billion, four hundred sixty-four million, seven hundred forty-two thousand, four hundred".