73742306820 has 192 divisors, whose sum is σ = 254687279616. Its totient is φ = 15524536320.

The previous prime is 73742306777. The next prime is 73742306849. The reversal of 73742306820 is 2860324737.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2502412 + ... + 2531708.

It is an arithmetic number, because the mean of its divisors is an integer number (1326496248).

Almost surely, 2^73742306820 is an apocalyptic number.

73742306820 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 73742306820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127343639808).

73742306820 is an abundant number, since it is smaller than the sum of its proper divisors (180944972796).

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

73742306820 is a wasteful number, since it uses less digits than its factorization.

73742306820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29790 (or 29788 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 73742306820 in words is "seventy-three billion, seven hundred forty-two million, three hundred six thousand, eight hundred twenty".