35374620672000 has 1360 divisors, whose sum is σ = 133601194584000. Its totient is φ = 9311669452800.

The previous prime is 35374620671987. The next prime is 35374620672007. The reversal of 35374620672000 is 27602647353.

35374620672000 is a `hidden beast` number, since 3 + 5 + 374 + 6 + 206 + 72 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (35374620672007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59056127701 + ... + 59056128299.

Almost surely, 2^{35374620672000} is an apocalyptic number.

35374620672000 is a gapful number since it is divisible by the number (30) 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 35374620672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66800597292000).

35374620672000 is an abundant number, since it is smaller than the sum of its proper divisors (98226573912000).

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

35374620672000 is an frugal number, since it uses more digits than its factorization.

35374620672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 35374620672000 in words is "thirty-five trillion, three hundred seventy-four billion, six hundred twenty million, six hundred seventy-two thousand".