46419651720 has 640 divisors, whose sum is σ = 176180336640. Its totient is φ = 10883911680.

The previous prime is 46419651703. The next prime is 46419651727. The reversal of 46419651720 is 2715691464.

46419651720 is a `hidden beast` number, since 4 + 6 + 41 + 96 + 517 + 2 + 0 = 666.

46419651720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46419651727) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 95317317 + ... + 95317803.

It is an arithmetic number, because the mean of its divisors is an integer number (275281776).

Almost surely, 2^46419651720 is an apocalyptic number.

46419651720 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 46419651720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88090168320).

46419651720 is an abundant number, since it is smaller than the sum of its proper divisors (129760684920).

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

46419651720 is a wasteful number, since it uses less digits than its factorization.

46419651720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 46419651720 in words is "forty-six billion, four hundred nineteen million, six hundred fifty-one thousand, seven hundred twenty".