73771149492432 has 320 divisors, whose sum is σ = 244191562168320. Its totient is φ = 20887503436800.

The previous prime is 73771149492427. The next prime is 73771149492449. The reversal of 73771149492432 is 23429494117737.

73771149492432 is a `hidden beast` number, since 7 + 3 + 7 + 7 + 11 + 494 + 92 + 43 + 2 = 666.

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.

It is a self number, because there is not a number n which added to its sum of digits gives 73771149492432.

It is a congruent number.

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, 148420807 + ... + 148917017.

It is an arithmetic number, because the mean of its divisors is an integer number (763098631776).

Almost surely, 2^{73771149492432} is an apocalyptic number.

73771149492432 is a gapful number since it is divisible by the number (72) 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 73771149492432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122095781084160).

73771149492432 is an abundant number, since it is smaller than the sum of its proper divisors (170420412675888).

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

73771149492432 is a wasteful number, since it uses less digits than its factorization.

73771149492432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496679 (or 496667 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 73771149492432 in words is "seventy-three trillion, seven hundred seventy-one billion, one hundred forty-nine million, four hundred ninety-two thousand, four hundred thirty-two".