73076881413690 has 384 divisors, whose sum is σ = 250074065145600. Its totient is φ = 15014188062720.

The previous prime is 73076881413611. The next prime is 73076881413709. The reversal of 73076881413690 is 9631418867037.

73076881413690 is a `hidden beast` number, since 73 + 0 + 7 + 68 + 8 + 1 + 413 + 6 + 90 = 666.

It is a super-2 number, since 2×73076881413690² (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10131142 + ... + 15773198.

It is an arithmetic number, because the mean of its divisors is an integer number (651234544650).

Almost surely, 2^{73076881413690} is an apocalyptic number.

73076881413690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73076881413690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125037032572800).

73076881413690 is an abundant number, since it is smaller than the sum of its proper divisors (176997183731910).

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

73076881413690 is a wasteful number, since it uses less digits than its factorization.

73076881413690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642187 (or 5642174 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 73076881413690 in words is "seventy-three trillion, seventy-six billion, eight hundred eighty-one million, four hundred thirteen thousand, six hundred ninety".