361978474752 has 576 divisors, whose sum is σ = 1197688504320. Its totient is φ = 107296358400.

The previous prime is 361978474727. The next prime is 361978474763. The reversal of 361978474752 is 257474879163.

361978474752 is a `hidden beast` number, since 3 + 6 + 1 + 97 + 8 + 474 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 361978474752.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156631677 + ... + 156633987.

It is an arithmetic number, because the mean of its divisors is an integer number (2079320320).

Almost surely, 2^361978474752 is an apocalyptic number.

361978474752 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 361978474752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598844252160).

361978474752 is an abundant number, since it is smaller than the sum of its proper divisors (835710029568).

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

361978474752 is a wasteful number, since it uses less digits than its factorization.

361978474752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2407 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 361978474752 in words is "three hundred sixty-one billion, nine hundred seventy-eight million, four hundred seventy-four thousand, seven hundred fifty-two".