149767638007680 has 3840 divisors, whose sum is σ = 717096534865920. Its totient is φ = 29408956416000.

The previous prime is 149767638007651. The next prime is 149767638007703. The reversal of 149767638007680 is 86700836767941.

It is a happy number.

149767638007680 is a `hidden beast` number, since 1 + 49 + 7 + 67 + 6 + 380 + 0 + 76 + 80 = 666.

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 = 149767638007599 and 149767638007608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 37246364070 + ... + 37246368090.

It is an arithmetic number, because the mean of its divisors is an integer number (186743889288).

Almost surely, 2^{149767638007680} is an apocalyptic number.

149767638007680 is a gapful number since it is divisible by the number (10) 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 149767638007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358548267432960).

149767638007680 is an abundant number, since it is smaller than the sum of its proper divisors (567328896858240).

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

149767638007680 is a wasteful number, since it uses less digits than its factorization.

149767638007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 149767638007680 in words is "one hundred forty-nine trillion, seven hundred sixty-seven billion, six hundred thirty-eight million, seven thousand, six hundred eighty".