84268629900 has 432 divisors, whose sum is σ = 335586521088. Its totient is φ = 17205696000.

The previous prime is 84268629877. The next prime is 84268629919. The reversal of 84268629900 is 992686248.

It is a happy number.

84268629900 is a `hidden beast` number, since 8 + 4 + 2 + 6 + 8 + 629 + 9 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2522305 + ... + 2555495.

Almost surely, 2^84268629900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84268629900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167793260544).

84268629900 is an abundant number, since it is smaller than the sum of its proper divisors (251317891188).

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

84268629900 is a wasteful number, since it uses less digits than its factorization.

84268629900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33262 (or 33252 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 84268629900 in words is "eighty-four billion, two hundred sixty-eight million, six hundred twenty-nine thousand, nine hundred".