16378662240 has 384 divisors, whose sum is σ = 61451550720. Its totient is φ = 4059684864.

The previous prime is 16378662229. The next prime is 16378662263. The reversal of 16378662240 is 4226687361.

16378662240 is a `hidden beast` number, since 1 + 637 + 8 + 6 + 6 + 2 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6094177 + ... + 6096863.

It is an arithmetic number, because the mean of its divisors is an integer number (160030080).

Almost surely, 2^16378662240 is an apocalyptic number.

16378662240 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 16378662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30725775360).

16378662240 is an abundant number, since it is smaller than the sum of its proper divisors (45072888480).

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

16378662240 is a wasteful number, since it uses less digits than its factorization.

16378662240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 16378662240 in words is "sixteen billion, three hundred seventy-eight million, six hundred sixty-two thousand, two hundred forty".