46457839680 has 224 divisors, whose sum is σ = 170711408640. Its totient is φ = 10484398080.

The previous prime is 46457839651. The next prime is 46457839691. The reversal of 46457839680 is 8693875464.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 487125 + ... + 574635.

Almost surely, 2^46457839680 is an apocalyptic number.

46457839680 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 46457839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85355704320).

46457839680 is an abundant number, since it is smaller than the sum of its proper divisors (124253568960).

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

46457839680 is a wasteful number, since it uses less digits than its factorization.

46457839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87617 (or 87607 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 46457839680 in words is "forty-six billion, four hundred fifty-seven million, eight hundred thirty-nine thousand, six hundred eighty".