73794651840 has 1008 divisors, whose sum is σ = 323901474624. Its totient is φ = 15016181760.

The previous prime is 73794651787. The next prime is 73794651857. The reversal of 73794651840 is 4815649737.

73794651840 is a `hidden beast` number, since 7 + 37 + 94 + 6 + 518 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 251858734 + ... + 251859026.

It is an arithmetic number, because the mean of its divisors is an integer number (321330828).

Almost surely, 2^73794651840 is an apocalyptic number.

73794651840 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 73794651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161950737312).

73794651840 is an abundant number, since it is smaller than the sum of its proper divisors (250106822784).

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

73794651840 is a wasteful number, since it uses less digits than its factorization.

73794651840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 73794651840 in words is "seventy-three billion, seven hundred ninety-four million, six hundred fifty-one thousand, eight hundred forty".