6416157202560 has 384 divisors, whose sum is σ = 25736012789760. Its totient is φ = 1442507857920.

The previous prime is 6416157202547. The next prime is 6416157202573. The reversal of 6416157202560 is 652027516146.

6416157202560 is a `hidden beast` number, since 6 + 4 + 1 + 6 + 15 + 72 + 0 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6416157202547) and next prime (6416157202573).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1155169 + ... + 3763871.

It is an arithmetic number, because the mean of its divisors is an integer number (67020866640).

Almost surely, 2^{6416157202560} is an apocalyptic number.

6416157202560 is a gapful number since it is divisible by the number (60) 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 6416157202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12868006394880).

6416157202560 is an abundant number, since it is smaller than the sum of its proper divisors (19319855587200).

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

6416157202560 is a wasteful number, since it uses less digits than its factorization.

6416157202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608796 (or 2608781 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 6416157202560 in words is "six trillion, four hundred sixteen billion, one hundred fifty-seven million, two hundred two thousand, five hundred sixty".