364051860480 has 1408 divisors, whose sum is σ = 1684280770560. Its totient is φ = 72309473280.

The previous prime is 364051860467. The next prime is 364051860509. The reversal of 364051860480 is 84068150463.

364051860480 is a `hidden beast` number, since 3 + 6 + 40 + 51 + 86 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244822297 + ... + 244823783.

Almost surely, 2^364051860480 is an apocalyptic number.

364051860480 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 364051860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842140385280).

364051860480 is an abundant number, since it is smaller than the sum of its proper divisors (1320228910080).

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

364051860480 is a wasteful number, since it uses less digits than its factorization.

364051860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 364051860480 in words is "three hundred sixty-four billion, fifty-one million, eight hundred sixty thousand, four hundred eighty".