73988764416 has 972 divisors, whose sum is σ = 275173254720. Its totient is φ = 19752284160.

The previous prime is 73988764411. The next prime is 73988764429. The reversal of 73988764416 is 61446788937.

73988764416 is a `hidden beast` number, since 73 + 9 + 88 + 76 + 4 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (48771072) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (73988764411) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2386734321 + ... + 2386734351.

Almost surely, 2^73988764416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73988764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137586627360).

73988764416 is an abundant number, since it is smaller than the sum of its proper divisors (201184490304).

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

73988764416 is an frugal number, since it uses more digits than its factorization.

73988764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 73988764416 in words is "seventy-three billion, nine hundred eighty-eight million, seven hundred sixty-four thousand, four hundred sixteen".