4364446992768 has 96 divisors (see below), whose sum is σ = 12560963430600. Its totient is φ = 1454605701120.

The previous prime is 4364446992761. The next prime is 4364446992793. The reversal of 4364446992768 is 8672996444634.

4364446992768 is a `hidden beast` number, since 4 + 3 + 6 + 4 + 4 + 469 + 92 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 4364446992696 and 4364446992705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4364446992761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7816008 + ... + 8355768.

Almost surely, 2^{4364446992768} is an apocalyptic number.

4364446992768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4364446992768 is an abundant number, since it is smaller than the sum of its proper divisors (8196516437832).

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

4364446992768 is a wasteful number, since it uses less digits than its factorization.

4364446992768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546800 (or 546785 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 72.

The spelling of 4364446992768 in words is "four trillion, three hundred sixty-four billion, four hundred forty-six million, nine hundred ninety-two thousand, seven hundred sixty-eight".