1007651687328 has 480 divisors, whose sum is σ = 3485823973632. Its totient is φ = 281516083200.

The previous prime is 1007651687243. The next prime is 1007651687333. The reversal of 1007651687328 is 8237861567001.

It is a happy number.

1007651687328 is a `hidden beast` number, since 10 + 0 + 7 + 6 + 516 + 87 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 538562233 + ... + 538564103.

Almost surely, 2^{1007651687328} is an apocalyptic number.

1007651687328 is a gapful number since it is divisible by the number (18) 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 1007651687328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742911986816).

1007651687328 is an abundant number, since it is smaller than the sum of its proper divisors (2478172286304).

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

1007651687328 is a wasteful number, since it uses less digits than its factorization.

1007651687328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1007651687328 in words is "one trillion, seven billion, six hundred fifty-one million, six hundred eighty-seven thousand, three hundred twenty-eight".