366961084560 has 480 divisors, whose sum is σ = 1465188221952. Its totient is φ = 83613150720.

The previous prime is 366961084559. The next prime is 366961084561. The reversal of 366961084560 is 65480169663.

366961084560 is a `hidden beast` number, since 3 + 6 + 69 + 6 + 10 + 8 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (366961084559) and next prime (366961084561).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 366961084497 and 366961084506.

It is not an unprimeable number, because it can be changed into a prime (366961084561) 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, 45038407 + ... + 45046553.

Almost surely, 2^366961084560 is an apocalyptic number.

366961084560 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 366961084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732594110976).

366961084560 is an abundant number, since it is smaller than the sum of its proper divisors (1098227137392).

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

366961084560 is a wasteful number, since it uses less digits than its factorization.

366961084560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8513 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 366961084560 in words is "three hundred sixty-six billion, nine hundred sixty-one million, eighty-four thousand, five hundred sixty".