146979878400 has 1200 divisors, whose sum is σ = 596772696960. Its totient is φ = 35566387200.

The previous prime is 146979878399. The next prime is 146979878407. The reversal of 146979878400 is 4878979641.

146979878400 is a `hidden beast` number, since 1 + 469 + 7 + 98 + 7 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146979878407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 546393466 + ... + 546393734.

Almost surely, 2^146979878400 is an apocalyptic number.

146979878400 is a gapful number since it is divisible by the number (10) 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 146979878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298386348480).

146979878400 is an abundant number, since it is smaller than the sum of its proper divisors (449792818560).

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

146979878400 is a wasteful number, since it uses less digits than its factorization.

146979878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 146979878400 in words is "one hundred forty-six billion, nine hundred seventy-nine million, eight hundred seventy-eight thousand, four hundred".