146424397680 has 320 divisors, whose sum is σ = 574124682240. Its totient is φ = 33953356800.

The previous prime is 146424397673. The next prime is 146424397709. The reversal of 146424397680 is 86793424641.

146424397680 is a `hidden beast` number, since 1 + 4 + 64 + 2 + 439 + 76 + 80 = 666.

146424397680 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412510 + ... + 680450.

It is an arithmetic number, because the mean of its divisors is an integer number (1794139632).

Almost surely, 2^146424397680 is an apocalyptic number.

146424397680 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 146424397680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287062341120).

146424397680 is an abundant number, since it is smaller than the sum of its proper divisors (427700284560).

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

146424397680 is a wasteful number, since it uses less digits than its factorization.

146424397680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267997 (or 267985 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 146424397680 in words is "one hundred forty-six billion, four hundred twenty-four million, three hundred ninety-seven thousand, six hundred eighty".