763638784272 has 600 divisors, whose sum is σ = 2773057524864. Its totient is φ = 198611232768.

The previous prime is 763638784261. The next prime is 763638784273. The reversal of 763638784272 is 272487836367.

763638784272 is a `hidden beast` number, since 76 + 3 + 63 + 87 + 8 + 427 + 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 not an unprimeable number, because it can be changed into a prime (763638784273) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 111917853 + ... + 111924675.

Almost surely, 2^763638784272 is an apocalyptic number.

763638784272 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 763638784272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386528762432).

763638784272 is an abundant number, since it is smaller than the sum of its proper divisors (2009418740592).

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

763638784272 is a wasteful number, since it uses less digits than its factorization.

763638784272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6949 (or 6921 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 63.

The spelling of 763638784272 in words is "seven hundred sixty-three billion, six hundred thirty-eight million, seven hundred eighty-four thousand, two hundred seventy-two".