674950400155152 has 960 divisors, whose sum is σ = 2262913624258560. Its totient is φ = 185697482342400.

The previous prime is 674950400155067. The next prime is 674950400155219. The reversal of 674950400155152 is 251551004059476.

674950400155152 is a `hidden beast` number, since 6 + 7 + 49 + 5 + 0 + 40 + 0 + 1 + 551 + 5 + 2 = 666.

674950400155152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41992799788 + ... + 41992815860.

It is an arithmetic number, because the mean of its divisors is an integer number (2357201691936).

Almost surely, 2^{674950400155152} is an apocalyptic number.

674950400155152 is a gapful number since it is divisible by the number (62) 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 674950400155152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131456812129280).

674950400155152 is an abundant number, since it is smaller than the sum of its proper divisors (1587963224103408).

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

674950400155152 is a wasteful number, since it uses less digits than its factorization.

674950400155152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16992 (or 16983 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 674950400155152 in words is "six hundred seventy-four trillion, nine hundred fifty billion, four hundred million, one hundred fifty-five thousand, one hundred fifty-two".