73763146920960 has 1408 divisors, whose sum is σ = 303951304458240. Its totient is φ = 16616499314688.

The previous prime is 73763146920943. The next prime is 73763146920961. The reversal of 73763146920960 is 6902964136737.

73763146920960 is a `hidden beast` number, since 7 + 3 + 7 + 63 + 1 + 469 + 20 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73763146920961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19294569609 + ... + 19294573431.

Almost surely, 2^{73763146920960} is an apocalyptic number.

73763146920960 is a gapful number since it is divisible by the number (70) 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 73763146920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151975652229120).

73763146920960 is an abundant number, since it is smaller than the sum of its proper divisors (230188157537280).

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

73763146920960 is a wasteful number, since it uses less digits than its factorization.

73763146920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 73763146920960 in words is "seventy-three trillion, seven hundred sixty-three billion, one hundred forty-six million, nine hundred twenty thousand, nine hundred sixty".