492077622516480 has 10368 divisors, whose sum is σ = 2549107053158400. Its totient is φ = 88902696960000.

The previous prime is 492077622516457. The next prime is 492077622516503. The reversal of 492077622516480 is 84615226770294.

492077622516480 is a `hidden beast` number, since 4 + 9 + 2 + 0 + 7 + 76 + 2 + 2 + 516 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (492077622516457) and next prime (492077622516503).

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

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 4872055668430 + ... + 4872055668530.

It is an arithmetic number, because the mean of its divisors is an integer number (245862948800).

Almost surely, 2^{492077622516480} is an apocalyptic number.

492077622516480 is a gapful number since it is divisible by the number (40) 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 492077622516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274553526579200).

492077622516480 is an abundant number, since it is smaller than the sum of its proper divisors (2057029430641920).

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

492077622516480 is a wasteful number, since it uses less digits than its factorization.

492077622516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 492077622516480 in words is "four hundred ninety-two trillion, seventy-seven billion, six hundred twenty-two million, five hundred sixteen thousand, four hundred eighty".