684428467766400 has 864 divisors, whose sum is σ = 2853330891290100. Its totient is φ = 155757571522560.

The previous prime is 684428467766389. The next prime is 684428467766413. The reversal of 684428467766400 is 4667764824486.

684428467766400 is a `hidden beast` number, since 6 + 8 + 44 + 28 + 467 + 7 + 66 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 294847087316544 + 389581380449856 = 17171112^2 + 19737816^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 322105854 + ... + 324223746.

Almost surely, 2^{684428467766400} is an apocalyptic number.

684428467766400 is a gapful number since it is divisible by the number (60) 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 684428467766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426665445645050).

684428467766400 is an abundant number, since it is smaller than the sum of its proper divisors (2168902423523700).

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

684428467766400 is a wasteful number, since it uses less digits than its factorization.

684428467766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118166 (or 2118139 counting only the distinct ones).

The product of its (nonzero) digits is 2080899072, while the sum is 72.

The spelling of 684428467766400 in words is "six hundred eighty-four trillion, four hundred twenty-eight billion, four hundred sixty-seven million, seven hundred sixty-six thousand, four hundred".