46328679936 has 720 divisors, whose sum is σ = 177272903808. Its totient is φ = 11496038400.

The previous prime is 46328679899. The next prime is 46328679941. The reversal of 46328679936 is 63997682364.

46328679936 is a `hidden beast` number, since 463 + 2 + 86 + 7 + 9 + 93 + 6 = 666.

It is a super-2 number, since 2×46328679936² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57124971 + ... + 57125781.

Almost surely, 2^46328679936 is an apocalyptic number.

46328679936 is a gapful number since it is divisible by the number (46) 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 46328679936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88636451904).

46328679936 is an abundant number, since it is smaller than the sum of its proper divisors (130944223872).

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

46328679936 is a wasteful number, since it uses less digits than its factorization.

46328679936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 857 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 46328679936 in words is "forty-six billion, three hundred twenty-eight million, six hundred seventy-nine thousand, nine hundred thirty-six".