73826975040 has 1344 divisors, whose sum is σ = 318729116160. Its totient is φ = 14306181120.

The previous prime is 73826975023. The next prime is 73826975051. The reversal of 73826975040 is 4057962837.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407883750 + ... + 407883930.

It is an arithmetic number, because the mean of its divisors is an integer number (237149640).

Almost surely, 2^73826975040 is an apocalyptic number.

73826975040 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 73826975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364558080).

73826975040 is an abundant number, since it is smaller than the sum of its proper divisors (244902141120).

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

73826975040 is a wasteful number, since it uses less digits than its factorization.

73826975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 73826975040 in words is "seventy-three billion, eight hundred twenty-six million, nine hundred seventy-five thousand, forty".