364464768 has 128 divisors (see below), whose sum is σ = 1058711040. Its totient is φ = 110592000.

The previous prime is 364464697. The next prime is 364464769. The reversal of 364464768 is 867464463.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×364464768² = 265669134226587648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (364464769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201468 + ... + 203268.

It is an arithmetic number, because the mean of its divisors is an integer number (8271180).

Almost surely, 2^364464768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529355520).

364464768 is an abundant number, since it is smaller than the sum of its proper divisors (694246272).

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

364464768 is a wasteful number, since it uses less digits than its factorization.

364464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1854 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The square root of 364464768 is about 19090.9603739571. The cubic root of 364464768 is about 714.3074572886.

It can be divided in two parts, 36446 and 4768, that added together give a palindrome (41214).

The spelling of 364464768 in words is "three hundred sixty-four million, four hundred sixty-four thousand, seven hundred sixty-eight".