987632787456 has 1120 divisors, whose sum is σ = 3674153809920. Its totient is φ = 258705653760.

The previous prime is 987632787403. The next prime is 987632787473. The reversal of 987632787456 is 654787236789.

987632787456 is a `hidden beast` number, since 9 + 8 + 76 + 3 + 27 + 87 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31859122161 + ... + 31859122191.

Almost surely, 2^987632787456 is an apocalyptic number.

987632787456 is a gapful number since it is divisible by the number (96) 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 987632787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837076904960).

987632787456 is an abundant number, since it is smaller than the sum of its proper divisors (2686521022464).

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

987632787456 is an frugal number, since it uses more digits than its factorization.

987632787456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 62 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 987632787456 in words is "nine hundred eighty-seven billion, six hundred thirty-two million, seven hundred eighty-seven thousand, four hundred fifty-six".