73746167040 has 1152 divisors, whose sum is σ = 326359756800. Its totient is φ = 15354593280.

The previous prime is 73746167023. The next prime is 73746167107. The reversal of 73746167040 is 4076164737.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 411989671 + ... + 411989849.

It is an arithmetic number, because the mean of its divisors is an integer number (283298400).

Almost surely, 2^73746167040 is an apocalyptic number.

73746167040 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 73746167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163179878400).

73746167040 is an abundant number, since it is smaller than the sum of its proper divisors (252613589760).

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

73746167040 is a wasteful number, since it uses less digits than its factorization.

73746167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 73746167040 in words is "seventy-three billion, seven hundred forty-six million, one hundred sixty-seven thousand, forty".