390506798005632 has 768 divisors, whose sum is σ = 1440253345190400. Its totient is φ = 98594205696000.

The previous prime is 390506798005619. The next prime is 390506798005633. The reversal of 390506798005632 is 236500897605093.

390506798005632 is a `hidden beast` number, since 3 + 9 + 0 + 5 + 0 + 67 + 9 + 8 + 0 + 0 + 563 + 2 = 666.

It is a super-2 number, since 2×390506798005632² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 390506798005632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390506798005633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3449375844 + ... + 3449489052.

It is an arithmetic number, because the mean of its divisors is an integer number (1875329876550).

Almost surely, 2^{390506798005632} is an apocalyptic number.

390506798005632 is a gapful number since it is divisible by the number (32) 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 390506798005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720126672595200).

390506798005632 is an abundant number, since it is smaller than the sum of its proper divisors (1049746547184768).

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

390506798005632 is a wasteful number, since it uses less digits than its factorization.

390506798005632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114335 (or 114320 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 390506798005632 in words is "three hundred ninety trillion, five hundred six billion, seven hundred ninety-eight million, five thousand, six hundred thirty-two".