73146648032640 has 4608 divisors, whose sum is σ = 350862406876800. Its totient is φ = 14468788518912.

The previous prime is 73146648032629. The next prime is 73146648032669. The reversal of 73146648032640 is 4623084664137.

73146648032640 is a `hidden beast` number, since 7 + 3 + 14 + 66 + 480 + 32 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 284617307392 + ... + 284617307648.

Almost surely, 2^{73146648032640} is an apocalyptic number.

73146648032640 is a gapful number since it is divisible by the number (70) 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 73146648032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175431203438400).

73146648032640 is an abundant number, since it is smaller than the sum of its proper divisors (277715758844160).

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

73146648032640 is a wasteful number, since it uses less digits than its factorization.

73146648032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 73146648032640 in words is "seventy-three trillion, one hundred forty-six billion, six hundred forty-eight million, thirty-two thousand, six hundred forty".