73642277520 has 480 divisors, whose sum is σ = 303238091520. Its totient is φ = 16251217920.

The previous prime is 73642277497. The next prime is 73642277563. The reversal of 73642277520 is 2577224637.

73642277520 is a `hidden beast` number, since 7 + 36 + 4 + 22 + 77 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3936990 + ... + 3955650.

It is an arithmetic number, because the mean of its divisors is an integer number (631746024).

Almost surely, 2^73642277520 is an apocalyptic number.

73642277520 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 73642277520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151619045760).

73642277520 is an abundant number, since it is smaller than the sum of its proper divisors (229595814000).

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

73642277520 is a wasteful number, since it uses less digits than its factorization.

73642277520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18725 (or 18707 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 73642277520 in words is "seventy-three billion, six hundred forty-two million, two hundred seventy-seven thousand, five hundred twenty".