738252748800 has 2304 divisors, whose sum is σ = 3369384345600. Its totient is φ = 154740326400.

The previous prime is 738252748799. The next prime is 738252748817. The reversal of 738252748800 is 8847252837.

738252748800 is a `hidden beast` number, since 7 + 38 + 2 + 527 + 4 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×738252748800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6899558347 + ... + 6899558453.

It is an arithmetic number, because the mean of its divisors is an integer number (1462406400).

Almost surely, 2^738252748800 is an apocalyptic number.

738252748800 is a gapful number since it is divisible by the number (70) 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 738252748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684692172800).

738252748800 is an abundant number, since it is smaller than the sum of its proper divisors (2631131596800).

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

738252748800 is a wasteful number, since it uses less digits than its factorization.

738252748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 738252748800 in words is "seven hundred thirty-eight billion, two hundred fifty-two million, seven hundred forty-eight thousand, eight hundred".