721378344960 has 1152 divisors, whose sum is σ = 3213172216800. Its totient is φ = 152202903552.

The previous prime is 721378344839. The next prime is 721378344961. The reversal of 721378344960 is 69443873127.

721378344960 is a `hidden beast` number, since 7 + 2 + 137 + 8 + 3 + 449 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 721378344897 and 721378344906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (721378344961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55490641914 + ... + 55490641926.

Almost surely, 2^721378344960 is an apocalyptic number.

721378344960 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 721378344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606586108400).

721378344960 is an abundant number, since it is smaller than the sum of its proper divisors (2491793871840).

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

721378344960 is an frugal number, since it uses more digits than its factorization.

721378344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 721378344960 in words is "seven hundred twenty-one billion, three hundred seventy-eight million, three hundred forty-four thousand, nine hundred sixty".