46324072000 has 224 divisors, whose sum is σ = 118038945024. Its totient is φ = 17998848000.

The previous prime is 46324071973. The next prime is 46324072013. The reversal of 46324072000 is 27042364.

It is a super-2 number, since 2×46324072000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46324072000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106983784 + ... + 106984216.

It is an arithmetic number, because the mean of its divisors is an integer number (526959576).

Almost surely, 2^46324072000 is an apocalyptic number.

46324072000 is a gapful number since it is divisible by the number (40) 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 46324072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59019472512).

46324072000 is an abundant number, since it is smaller than the sum of its proper divisors (71714873024).

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

46324072000 is a wasteful number, since it uses less digits than its factorization.

46324072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The spelling of 46324072000 in words is "forty-six billion, three hundred twenty-four million, seventy-two thousand".