1401684768 has 144 divisors (see below), whose sum is σ = 4537705536. Its totient is φ = 406264320.

The previous prime is 1401684749. The next prime is 1401684787. The reversal of 1401684768 is 8674861041.

1401684768 is a `hidden beast` number, since 14 + 0 + 168 + 476 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1401684749) and next prime (1401684787).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63246 + ... + 82482.

It is an arithmetic number, because the mean of its divisors is an integer number (31511844).

Almost surely, 2^1401684768 is an apocalyptic number.

1401684768 is a gapful number since it is divisible by the number (18) 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 1401684768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268852768).

1401684768 is an abundant number, since it is smaller than the sum of its proper divisors (3136020768).

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

1401684768 is a wasteful number, since it uses less digits than its factorization.

1401684768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19287 (or 19276 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1401684768 is about 37439.0807579460. The cubic root of 1401684768 is about 1119.1375077491.

The spelling of 1401684768 in words is "one billion, four hundred one million, six hundred eighty-four thousand, seven hundred sixty-eight".