27464532480 has 960 divisors, whose sum is σ = 120510643968. Its totient is φ = 5615124480.

The previous prime is 27464532467. The next prime is 27464532493. The reversal of 27464532480 is 8423546472.

It is a happy number.

27464532480 is a `hidden beast` number, since 2 + 74 + 6 + 4 + 532 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27464532467) and next prime (27464532493).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200470972 + ... + 200471108.

Almost surely, 2^27464532480 is an apocalyptic number.

27464532480 is a gapful number since it is divisible by the number (20) 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 27464532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60255321984).

27464532480 is an abundant number, since it is smaller than the sum of its proper divisors (93046111488).

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

27464532480 is a wasteful number, since it uses less digits than its factorization.

27464532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 27464532480 in words is "twenty-seven billion, four hundred sixty-four million, five hundred thirty-two thousand, four hundred eighty".