15420505464 has 256 divisors, whose sum is σ = 53054131200. Its totient is φ = 4041156096.

The previous prime is 15420505433. The next prime is 15420505483. The reversal of 15420505464 is 46450502451.

15420505464 is a `hidden beast` number, since 1 + 542 + 0 + 5 + 0 + 54 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3201522 + ... + 3206334.

It is an arithmetic number, because the mean of its divisors is an integer number (207242700).

Almost surely, 2^15420505464 is an apocalyptic number.

15420505464 is a gapful number since it is divisible by the number (14) 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 15420505464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26527065600).

15420505464 is an abundant number, since it is smaller than the sum of its proper divisors (37633625736).

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

15420505464 is a wasteful number, since it uses less digits than its factorization.

15420505464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 15420505464 in words is "fifteen billion, four hundred twenty million, five hundred five thousand, four hundred sixty-four".