619728804900 has 252 divisors, whose sum is σ = 2026474464000. Its totient is φ = 164426708160.

The previous prime is 619728804889. The next prime is 619728804931. The reversal of 619728804900 is 9408827916.

619728804900 is a `hidden beast` number, since 6 + 1 + 9 + 72 + 8 + 80 + 490 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14485741 + ... + 14528459.

Almost surely, 2^619728804900 is an apocalyptic number.

619728804900 is a gapful number since it is divisible by the number (60) 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 619728804900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013237232000).

619728804900 is an abundant number, since it is smaller than the sum of its proper divisors (1406745659100).

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

619728804900 is a wasteful number, since it uses less digits than its factorization.

619728804900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42950 (or 42928 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 619728804900 in words is "six hundred nineteen billion, seven hundred twenty-eight million, eight hundred four thousand, nine hundred".