60722816400 has 375 divisors, whose sum is σ = 223982904101. Its totient is φ = 15755109120.

The previous prime is 60722816383. The next prime is 60722816501. The reversal of 60722816400 is 461822706.

The square root of 60722816400 is 246420.

It is a perfect power (a square), and thus also a powerful number.

60722816400 is a `hidden beast` number, since 6 + 0 + 7 + 2 + 2 + 8 + 1 + 640 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 17740944 + 60705075456 = 4212^2 + 246384^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1641157182 + ... + 1641157218.

Almost surely, 2^60722816400 is an apocalyptic number.

60722816400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

60722816400 is the 246420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60722816400

60722816400 is an abundant number, since it is smaller than the sum of its proper divisors (163260087701).

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

60722816400 is an frugal number, since it uses more digits than its factorization.

60722816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 60722816400 by its sum of digits (36), we get a square (2186021390400 = 1478520²).

60722816400 divided by its sum of digits (36) gives a square (1686744900 = 41070²).

The spelling of 60722816400 in words is "sixty billion, seven hundred twenty-two million, eight hundred sixteen thousand, four hundred".