2329687793664 has 672 divisors, whose sum is σ = 8595900593280. Its totient is φ = 590295859200.

The previous prime is 2329687793549. The next prime is 2329687793677. The reversal of 2329687793664 is 4663977869232.

2329687793664 is a `hidden beast` number, since 2 + 32 + 96 + 87 + 79 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2329687793592 and 2329687793601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232754292 + ... + 232764300.

It is an arithmetic number, because the mean of its divisors is an integer number (12791518740).

Almost surely, 2^{2329687793664} is an apocalyptic number.

2329687793664 is a gapful number since it is divisible by the number (24) 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 2329687793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297950296640).

2329687793664 is an abundant number, since it is smaller than the sum of its proper divisors (6266212799616).

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

2329687793664 is a wasteful number, since it uses less digits than its factorization.

2329687793664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100 (or 10073 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 72.

The spelling of 2329687793664 in words is "two trillion, three hundred twenty-nine billion, six hundred eighty-seven million, seven hundred ninety-three thousand, six hundred sixty-four".