27632617740 has 144 divisors (see below), whose sum is σ = 103161834048. Its totient is φ = 5830175232.

The previous prime is 27632617693. The next prime is 27632617787. The reversal of 27632617740 is 4771623672.

27632617740 is a `hidden beast` number, since 2 + 7 + 632 + 6 + 1 + 7 + 7 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27632617693) and next prime (27632617787).

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 47 ways as a sum of consecutive naturals, for example, 827107 + ... + 859866.

Almost surely, 2^27632617740 is an apocalyptic number.

27632617740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27632617740 is an abundant number, since it is smaller than the sum of its proper divisors (75529216308).

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

27632617740 is a wasteful number, since it uses less digits than its factorization.

27632617740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687008 (or 1687003 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 27632617740 in words is "twenty-seven billion, six hundred thirty-two million, six hundred seventeen thousand, seven hundred forty".