32420619878400 has 2160 divisors, whose sum is σ = 134353726006500. Its totient is φ = 7705271992320.

The previous prime is 32420619878357. The next prime is 32420619878441. The reversal of 32420619878400 is 487891602423.

32420619878400 is a `hidden beast` number, since 3 + 2 + 4 + 20 + 61 + 98 + 78 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6399847563264 + 26020772315136 = 2529792^2 + 5101056^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

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 107 ways as a sum of consecutive naturals, for example, 1117952409586 + ... + 1117952409614.

Almost surely, 2^{32420619878400} is an apocalyptic number.

32420619878400 is a gapful number since it is divisible by the number (30) 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 32420619878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67176863003250).

32420619878400 is an abundant number, since it is smaller than the sum of its proper divisors (101933106128100).

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

32420619878400 is an frugal number, since it uses more digits than its factorization.

32420619878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 32420619878400 in words is "thirty-two trillion, four hundred twenty billion, six hundred nineteen million, eight hundred seventy-eight thousand, four hundred".