1676401920 has 720 divisors, whose sum is σ = 6766784640. Its totient is φ = 394149888.

The previous prime is 1676401919. The next prime is 1676401931. The reversal of 1676401920 is 291046761.

1676401920 is a `hidden beast` number, since 1 + 6 + 7 + 640 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45308142 + ... + 45308178.

It is an arithmetic number, because the mean of its divisors is an integer number (9398312).

Almost surely, 2^1676401920 is an apocalyptic number.

1676401920 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 1676401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383392320).

1676401920 is an abundant number, since it is smaller than the sum of its proper divisors (5090382720).

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

1676401920 is a wasteful number, since it uses less digits than its factorization.

1676401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1676401920 is about 40943.8874558828. The cubic root of 1676401920 is about 1187.9351051175.

The spelling of 1676401920 in words is "one billion, six hundred seventy-six million, four hundred one thousand, nine hundred twenty".