367130546640 has 960 divisors, whose sum is σ = 1520317693440. Its totient is φ = 78124400640.

The previous prime is 367130546639. The next prime is 367130546647. The reversal of 367130546640 is 46645031763.

367130546640 is a `hidden beast` number, since 3 + 6 + 71 + 30 + 546 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (367130546647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 542289982 + ... + 542290658.

It is an arithmetic number, because the mean of its divisors is an integer number (1583664264).

Almost surely, 2^367130546640 is an apocalyptic number.

367130546640 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 367130546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760158846720).

367130546640 is an abundant number, since it is smaller than the sum of its proper divisors (1153187146800).

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

367130546640 is a wasteful number, since it uses less digits than its factorization.

367130546640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 367130546640 in words is "three hundred sixty-seven billion, one hundred thirty million, five hundred forty-six thousand, six hundred forty".