73747936080 has 1920 divisors, whose sum is σ = 348549120000. Its totient is φ = 14265538560.

The previous prime is 73747936039. The next prime is 73747936103. The reversal of 73747936080 is 8063974737.

It is a happy number.

73747936080 is a `hidden beast` number, since 7 + 37 + 479 + 3 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2378965665 + ... + 2378965695.

It is an arithmetic number, because the mean of its divisors is an integer number (181536000).

Almost surely, 2^73747936080 is an apocalyptic number.

73747936080 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 73747936080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174274560000).

73747936080 is an abundant number, since it is smaller than the sum of its proper divisors (274801183920).

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

73747936080 is a wasteful number, since it uses less digits than its factorization.

73747936080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 73747936080 in words is "seventy-three billion, seven hundred forty-seven million, nine hundred thirty-six thousand, eighty".