362064500490420 has 1440 divisors, whose sum is σ = 1471767427823616. Its totient is φ = 73777132800000.

The previous prime is 362064500490409. The next prime is 362064500490431. The reversal of 362064500490420 is 24094005460263.

362064500490420 is a `hidden beast` number, since 3 + 6 + 2 + 0 + 64 + 500 + 49 + 0 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (362064500490409) and next prime (362064500490431).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 16091029170 + ... + 16091051670.

Almost surely, 2^{362064500490420} is an apocalyptic number.

362064500490420 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 362064500490420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735883713911808).

362064500490420 is an abundant number, since it is smaller than the sum of its proper divisors (1109702927333196).

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

362064500490420 is a wasteful number, since it uses less digits than its factorization.

362064500490420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23083 (or 23065 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 362064500490420 in words is "three hundred sixty-two trillion, sixty-four billion, five hundred million, four hundred ninety thousand, four hundred twenty".