10147604480 has 192 divisors, whose sum is σ = 27078105600. Its totient is φ = 3624468480.

The previous prime is 10147604479. The next prime is 10147604483. The reversal of 10147604480 is 8440674101.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10147604480.

It is not an unprimeable number, because it can be changed into a prime (10147604483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4125491 + ... + 4127949.

It is an arithmetic number, because the mean of its divisors is an integer number (141031800).

Almost surely, 2^10147604480 is an apocalyptic number.

10147604480 is a gapful number since it is divisible by the number (10) 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 10147604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13539052800).

10147604480 is an abundant number, since it is smaller than the sum of its proper divisors (16930501120).

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

10147604480 is a wasteful number, since it uses less digits than its factorization.

10147604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 10147604480 in words is "ten billion, one hundred forty-seven million, six hundred four thousand, four hundred eighty".