73135988640 has 1920 divisors, whose sum is σ = 334406983680. Its totient is φ = 14780620800.

The previous prime is 73135988623. The next prime is 73135988683. The reversal of 73135988640 is 4688953137.

73135988640 is a `hidden beast` number, since 7 + 3 + 1 + 3 + 598 + 8 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1091581887 + ... + 1091581953.

It is an arithmetic number, because the mean of its divisors is an integer number (174170304).

Almost surely, 2^73135988640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73135988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167203491840).

73135988640 is an abundant number, since it is smaller than the sum of its proper divisors (261270995040).

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

73135988640 is a wasteful number, since it uses less digits than its factorization.

73135988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 73135988640 in words is "seventy-three billion, one hundred thirty-five million, nine hundred eighty-eight thousand, six hundred forty".