674787236264064 has 3072 divisors, whose sum is σ = 2651103157248000. Its totient is φ = 165743611084800.

The previous prime is 674787236264017. The next prime is 674787236264081. The reversal of 674787236264064 is 460462632787476.

674787236264064 is a `hidden beast` number, since 6 + 7 + 4 + 78 + 7 + 236 + 264 + 0 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 674787236263983 and 674787236264001.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 951745043742 + ... + 951745044450.

It is an arithmetic number, because the mean of its divisors is an integer number (862989309000).

Almost surely, 2^{674787236264064} is an apocalyptic number.

674787236264064 is a gapful number since it is divisible by the number (64) 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 674787236264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325551578624000).

674787236264064 is an abundant number, since it is smaller than the sum of its proper divisors (1976315920983936).

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

674787236264064 is a wasteful number, since it uses less digits than its factorization.

674787236264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 2731180032, while the sum is 72.

The spelling of 674787236264064 in words is "six hundred seventy-four trillion, seven hundred eighty-seven billion, two hundred thirty-six million, two hundred sixty-four thousand, sixty-four".