5362031664000 has 768 divisors, whose sum is σ = 21043733929920. Its totient is φ = 1297612800000.

The previous prime is 5362031663999. The next prime is 5362031664001. The reversal of 5362031664000 is 4661302635.

5362031664000 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 0 + 3 + 1 + 6 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5362031663999) and next prime (5362031664001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5362031664001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1015341360 + ... + 1015346640.

Almost surely, 2^{5362031664000} is an apocalyptic number.

5362031664000 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 5362031664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10521866964960).

5362031664000 is an abundant number, since it is smaller than the sum of its proper divisors (15681702265920).

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

5362031664000 is a wasteful number, since it uses less digits than its factorization.

5362031664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5968 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 5362031664000 its reverse (4661302635), we get a palindrome (5366692966635).

The spelling of 5362031664000 in words is "five trillion, three hundred sixty-two billion, thirty-one million, six hundred sixty-four thousand".