73433653440 has 224 divisors, whose sum is σ = 268496515584. Its totient is φ = 16656506880.

The previous prime is 73433653427. The next prime is 73433653457. The reversal of 73433653440 is 4435633437.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 73433653392 and 73433653401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838612 + ... + 922028.

Almost surely, 2^73433653440 is an apocalyptic number.

73433653440 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 73433653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134248257792).

73433653440 is an abundant number, since it is smaller than the sum of its proper divisors (195062862144).

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

73433653440 is a wasteful number, since it uses less digits than its factorization.

73433653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83575 (or 83565 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 42.

The spelling of 73433653440 in words is "seventy-three billion, four hundred thirty-three million, six hundred fifty-three thousand, four hundred forty".