102067540646400 has 2400 divisors, whose sum is σ = 466477324790400. Its totient is φ = 21956086333440.

The previous prime is 102067540646353. The next prime is 102067540646413. The reversal of 102067540646400 is 4646045760201.

102067540646400 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 7 + 540 + 64 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×102067540646400² (a number of 29 digits) contains 22 as substring.

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

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 239 ways as a sum of consecutive naturals, for example, 6045572359 + ... + 6045589241.

It is an arithmetic number, because the mean of its divisors is an integer number (194365551996).

Almost surely, 2^{102067540646400} is an apocalyptic number.

102067540646400 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 102067540646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233238662395200).

102067540646400 is an abundant number, since it is smaller than the sum of its proper divisors (364409784144000).

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

102067540646400 is an equidigital number, since it uses as much as digits as its factorization.

102067540646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16961 (or 16917 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 102067540646400 in words is "one hundred two trillion, sixty-seven billion, five hundred forty million, six hundred forty-six thousand, four hundred".