65772690094080 has 1152 divisors, whose sum is σ = 251866999238400. Its totient is φ = 16404661665792.

The previous prime is 65772690094051. The next prime is 65772690094099. The reversal of 65772690094080 is 8049009627756.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×65772690094080³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65772690093999 and 65772690094017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6895129951 + ... + 6895139489.

It is an arithmetic number, because the mean of its divisors is an integer number (218634547950).

Almost surely, 2^{65772690094080} is an apocalyptic number.

65772690094080 is a gapful number since it is divisible by the number (60) 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 65772690094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125933499619200).

65772690094080 is an abundant number, since it is smaller than the sum of its proper divisors (186094309144320).

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

65772690094080 is a wasteful number, since it uses less digits than its factorization.

65772690094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9761 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 65772690094080 in words is "sixty-five trillion, seven hundred seventy-two billion, six hundred ninety million, ninety-four thousand, eighty".