364487746560 has 1056 divisors, whose sum is σ = 1462560997248. Its totient is φ = 76960235520.

The previous prime is 364487746559. The next prime is 364487746573. The reversal of 364487746560 is 65647784463.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 364487746494 and 364487746503.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 780487447 + ... + 780487913.

Almost surely, 2^364487746560 is an apocalyptic number.

364487746560 is a gapful number since it is divisible by the number (30) 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 364487746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731280498624).

364487746560 is an abundant number, since it is smaller than the sum of its proper divisors (1098073250688).

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

364487746560 is a wasteful number, since it uses less digits than its factorization.

364487746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 60.

The spelling of 364487746560 in words is "three hundred sixty-four billion, four hundred eighty-seven million, seven hundred forty-six thousand, five hundred sixty".