1087276400640 has 720 divisors, whose sum is σ = 3942842100288. Its totient is φ = 287418875904.

The previous prime is 1087276400621. The next prime is 1087276400653. The reversal of 1087276400640 is 460046727801.

1087276400640 is a `hidden beast` number, since 108 + 72 + 76 + 400 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

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, 3841965939 + ... + 3841966221.

Almost surely, 2^{1087276400640} is an apocalyptic number.

1087276400640 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 1087276400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971421050144).

1087276400640 is an abundant number, since it is smaller than the sum of its proper divisors (2855565699648).

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

1087276400640 is an frugal number, since it uses more digits than its factorization.

1087276400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1087276400640 in words is "one trillion, eighty-seven billion, two hundred seventy-six million, four hundred thousand, six hundred forty".