73027059840 has 1152 divisors, whose sum is σ = 313434576000. Its totient is φ = 16240766976.

The previous prime is 73027059829. The next prime is 73027059881. The reversal of 73027059840 is 4895072037.

73027059840 is a `hidden beast` number, since 7 + 30 + 27 + 0 + 598 + 4 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 1973704302 + ... + 1973704338.

It is an arithmetic number, because the mean of its divisors is an integer number (272078625).

Almost surely, 2^73027059840 is an apocalyptic number.

73027059840 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 73027059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156717288000).

73027059840 is an abundant number, since it is smaller than the sum of its proper divisors (240407516160).

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

73027059840 is an frugal number, since it uses more digits than its factorization.

73027059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 73027059840 in words is "seventy-three billion, twenty-seven million, fifty-nine thousand, eight hundred forty".