361690847743680 has 672 divisors, whose sum is σ = 1598461591366080. Its totient is φ = 76312793088000.

The previous prime is 361690847743669. The next prime is 361690847743717. The reversal of 361690847743680 is 86347748096163.

361690847743680 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 90 + 8 + 477 + 4 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 361690847743599 and 361690847743608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27355321 + ... + 38362680.

It is an arithmetic number, because the mean of its divisors is an integer number (2378663082390).

Almost surely, 2^{361690847743680} is an apocalyptic number.

361690847743680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361690847743680 is an abundant number, since it is smaller than the sum of its proper divisors (1236770743622400).

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

361690847743680 is a wasteful number, since it uses less digits than its factorization.

361690847743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65718054 (or 65718031 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 361690847743680 in words is "three hundred sixty-one trillion, six hundred ninety billion, eight hundred forty-seven million, seven hundred forty-three thousand, six hundred eighty".