73053075363840 has 3072 divisors, whose sum is σ = 325465620480000. Its totient is φ = 15278682931200.

The previous prime is 73053075363809. The next prime is 73053075363847. The reversal of 73053075363840 is 4836357035037.

73053075363840 is a `hidden beast` number, since 7 + 3 + 0 + 5 + 30 + 7 + 536 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×73053075363840² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73053075363847) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 59344496025 + ... + 59344497255.

It is an arithmetic number, because the mean of its divisors is an integer number (105945840000).

Almost surely, 2^{73053075363840} 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 73053075363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162732810240000).

73053075363840 is an abundant number, since it is smaller than the sum of its proper divisors (252412545116160).

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

73053075363840 is a wasteful number, since it uses less digits than its factorization.

73053075363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 54.

The spelling of 73053075363840 in words is "seventy-three trillion, fifty-three billion, seventy-five million, three hundred sixty-three thousand, eight hundred forty".