1634640480 has 384 divisors, whose sum is σ = 6401203200. Its totient is φ = 386150400.

The previous prime is 1634640479. The next prime is 1634640481. The reversal of 1634640480 is 840464361.

1634640480 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 640 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1634640479) and next prime (1634640481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1634640481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1947901 + ... + 1948739.

It is an arithmetic number, because the mean of its divisors is an integer number (16669800).

Almost surely, 2^1634640480 is an apocalyptic number.

1634640480 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 1634640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200601600).

1634640480 is an abundant number, since it is smaller than the sum of its proper divisors (4766562720).

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

1634640480 is a wasteful number, since it uses less digits than its factorization.

1634640480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1634640480 is about 40430.6873550277. The cubic root of 1634640480 is about 1177.9876839069.

The spelling of 1634640480 in words is "one billion, six hundred thirty-four million, six hundred forty thousand, four hundred eighty".