87274112640 has 1024 divisors, whose sum is σ = 344598105600. Its totient is φ = 18496880640.

The previous prime is 87274112633. The next prime is 87274112647. The reversal of 87274112640 is 4621147278.

It is an interprime number because it is at equal distance from previous prime (87274112633) and next prime (87274112647).

It is a junction number, because it is equal to n+sod(n) for n = 87274112592 and 87274112601.

It is not an unprimeable number, because it can be changed into a prime (87274112647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 772337224 + ... + 772337336.

Almost surely, 2^87274112640 is an apocalyptic number.

87274112640 is a gapful number since it is divisible by the number (80) 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 87274112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172299052800).

87274112640 is an abundant number, since it is smaller than the sum of its proper divisors (257323992960).

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

87274112640 is a wasteful number, since it uses less digits than its factorization.

87274112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 87274112640 in words is "eighty-seven billion, two hundred seventy-four million, one hundred twelve thousand, six hundred forty".