738721468800 has 1536 divisors, whose sum is σ = 3270590668800. Its totient is φ = 159418368000.

The previous prime is 738721468781. The next prime is 738721468889. The reversal of 738721468800 is 8864127837.

It is a happy number.

738721468800 is a `hidden beast` number, since 7 + 3 + 87 + 21 + 468 + 80 + 0 = 666.

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, 18017596780 + ... + 18017596820.

It is an arithmetic number, because the mean of its divisors is an integer number (2129290800).

Almost surely, 2^738721468800 is an apocalyptic number.

738721468800 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 738721468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635295334400).

738721468800 is an abundant number, since it is smaller than the sum of its proper divisors (2531869200000).

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

738721468800 is an equidigital number, since it uses as much as digits as its factorization.

738721468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 738721468800 in words is "seven hundred thirty-eight billion, seven hundred twenty-one million, four hundred sixty-eight thousand, eight hundred".